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Consider the function f :[0,π/2] to R , given by f(x) = sinx and g:[0,π/2] to R given by g(x) = cosx . Show that f and g one-one but f+g is not one-one .

Posted by Priyanka Birat 5 years, 1 month ago

CBSE > Class 12 > Mathematics

2 answers

Tannu Rao 5 years, 1 month ago

U can draw graphs of cosx and sinx in interval [0,π/2]. From the graphs, we can infer that both the functions are one one. Or f'(x)=cosx and g'(x)=-sinx. Derrivatives of both the functions are only +ve and -ve respectively in the given interval. Hence both are one one. (f+g)(x)=sinx +cosx (f+g)'(x)=cosx-sinx which is both +ve as well as -ve in the given interval. Hence it is many one.

Priyanka Birat 5 years, 1 month ago

Can anyone solve this question in good explanation .

ANSWER

(a+ib/2)^n +(a-ib/2)^n =? Where I is iota

Posted by Nikhil Kumar 5 years, 1 month ago

CBSE > Class 12 > Mathematics

0 answers

ANSWER

Consider functions f and g such that gof defined and is one one. Are f and g both necessarily one- one. Are f and g both necessarily onto. If g o f is onto ?

Posted by Anjali ? 5 years, 1 month ago

CBSE > Class 12 > Mathematics

3 answers

Nikhil Kumar 5 years, 1 month ago

Hor Kuchh

Nikhil Kumar 5 years, 1 month ago

When gof is one one then f is always one one but not necessarily that g is one one. When gof is onto then g always one one but not necessarily f is one one.

Aryan Choudhary ?? 5 years, 1 month ago

When gof is one one then f is always one one but not necessarily that g is one one. When gof is onto then g always one one but not necessarily f is one one.

ANSWER

Consider functions f and g such that gof is defined and

Posted by Anjali ? 5 years, 1 month ago

CBSE > Class 12 > Mathematics

0 answers

ANSWER

What is the approximate value of cos 29 degree 30 minute

Posted by Hiral Solanki 5 years, 1 month ago

CBSE > Class 12 > Mathematics

1 answers

Tannu Rao 5 years ago

0.87

ANSWER

If 3tan-1 x+cot-1x=π .Then x equals

Posted by Sumit Kumar 5 years, 1 month ago

CBSE > Class 12 > Mathematics

2 answers

Anjali ? 5 years, 1 month ago

3 (tan^-1)x+(cot^-1)x=π 2(tan^-1)x+(tan^-1)x+(cot^-1)x=π 2(tan^-1)x+π/2=π 2(tan^-1)x=π/2 (tan^-1)x=π/4 X=1

Sumit Malviya 5 years, 1 month ago

We can write it as . 2tan-1x+tan-1x + cot-1x=π Now,we know tan-1x+cot-1x=π÷2 So 2tan-1x+π÷2= π 2tan-1x=π÷2 tan-1x=π Putting (tan-1 0 =π tan-1x=tan-1 0 On comparing (x=0)

ANSWER

Differentiate (x)^cos x+(cos x) sin x

Posted by Akinshia C K 5 years, 1 month ago

CBSE > Class 12 > Mathematics

1 answers

Mohd Atif 5 years ago

(x)^cosx{cosx/x--sinx.logx}+cos2x=y'

ANSWER

If Siny=Sinx (a+y), prove that dy/dx = sin^2(a+y)/Sina

Posted by Anirudh Shukla 5 years, 1 month ago

CBSE > Class 12 > Mathematics

1 answers

Yogesh Sharma 5 years, 1 month ago

3.1

ANSWER

Cos-1(cos10)

Posted by Krishna Verma 5 years, 1 month ago

CBSE > Class 12 > Mathematics

3 answers

Tannu Rao 5 years, 1 month ago

4π-10 is also in range of cos-1(x)

Tannu Rao 5 years, 1 month ago

Cos(10) can be written as cos(4π-10). Therefore cos-1(cos10)=cos-1(cos(4π-10)) = 4π-10

Ravi Raj 5 years, 1 month ago

10

ANSWER

Find inverse of matrix by using row operation i e [3 -2 3 2 1 -1 4 -3 2]

Posted by Tarini Sahu 5 years, 1 month ago

CBSE > Class 12 > Mathematics

0 answers

ANSWER

In class 10 session 2019-2020 I have six subjects( including additional) but I failded in maths and science then I got compartment . Then for which subject I will have to give exam for getting pass

Posted by Manoj Dahiya 5 years, 1 month ago

CBSE > Class 12 > Mathematics

1 answers

Deep Manshahia 5 years, 1 month ago

For both because maths and science are compulsory subjects

ANSWER

Differentiate log7 log7x

Posted by Shreya Gupta 5 years, 1 month ago

CBSE > Class 12 > Mathematics

1 answers

Tannu Rao 5 years, 1 month ago

(1/(7Log7x)).(1/x).7

ANSWER

d/dx(e^√2x)

Posted by Shubhanshu Tiwari 5 years, 1 month ago

CBSE > Class 12 > Mathematics

1 answers

Tannu Rao 5 years, 1 month ago

(e^√2x).(√2)

ANSWER

If y= sin^(-1)⁡〖(cos⁡(sin^(-1)⁡〖x)〗 ))〗+ cos^(-1)⁡〖(sin⁡(cos^(-1)⁡〖x)〗 ))〗 , then find dy/dx

Posted by Yash Ghildiyal 5 years, 1 month ago

CBSE > Class 12 > Mathematics

0 answers

ANSWER

Sec²x/cosec²x dx

Posted by Suraj Jha 5 years, 1 month ago

CBSE > Class 12 > Mathematics

0 answers

ANSWER

i don't get enough marks in my additional subject (maths) is it necessary to give compartment or not? but passed in my main 5 subjects

Posted by Taranpreet Kaur 5 years, 1 month ago

CBSE > Class 12 > Mathematics

2 answers

Manoj Dahiya 5 years, 1 month ago

No it is not necessary

Baldev Singh 5 years, 1 month ago

dy/ dx of sinx

ANSWER

Is the binary operations removed from matrices with exercise 3.4? And how about miscelleneous exercise of this chapter ? Please anybody can answer me ?

Posted by Priyanka Birat 5 years, 1 month ago

CBSE > Class 12 > Mathematics

2 answers

Sangeeta Rohilla 5 years, 1 month ago

?

Gaurav Seth 5 years, 1 month ago

CBSE has rationalized the syllabus with the help of suggestions from NCERT and the same has been notified by a new CBSE notification as well.

The CBSE syllabus has been reduced but care has been taken so that the learning outcomes remain the same and the students do not miss out on learning core concepts in various subjects.

Deleted syllabus of CBSE Class 12 Mathematics

ANSWER

Limit x tends to 0 e^-1/x²

Posted by Saugat Dutta 5 years, 1 month ago

CBSE > Class 12 > Mathematics

0 answers

ANSWER

Lim x-0{ [1/2(1-cos2x)]^1/2}/x

Posted by Rishita Garg 5 years, 1 month ago

CBSE > Class 12 > Mathematics

1 answers

Sanjeev Kumar Roy 5 years, 1 month ago

1/2

ANSWER

What is differentiation of sinx

Posted by Stuti Trivedi 5 years, 1 month ago

CBSE > Class 12 > Mathematics

5 answers

Umesh Yadav 5 years, 1 month ago

Cosx

Manish Kumar 5 years, 1 month ago

Cos X

Siddharthm Sm 5 years, 1 month ago

Cosx

Dixit Maurya 5 years, 1 month ago

Cos x

Raghav Kabra 5 years, 1 month ago

Cosx

ANSWER

Find maxima and minima of 1/x²+3

Posted by Prince Jha 5 years, 1 month ago

CBSE > Class 12 > Mathematics

0 answers

ANSWER

Test for continuity where x=a, f(x)=(x-a) sin/x-a and 0 when x=a

Posted by Kashish Sindhwani 5 years, 1 month ago

CBSE > Class 12 > Mathematics

0 answers

ANSWER

Evaluate : Lim_xtends to 0(x^1÷2+2x+3x^1÷2/2x^1÷2-2x^5÷2+4x^7÷2)

Posted by Chandan Subudhi 5 years, 1 month ago

CBSE > Class 12 > Mathematics

0 answers

ANSWER

Inverse of matrix ? 1 0 0 0 1 1 0 -2 4

Posted by Manish Giri 5 years, 1 month ago

CBSE > Class 12 > Mathematics

0 answers

ANSWER

Slope of points joining (2,0) and (4,4)

Posted by Yash Jadon 5 years, 1 month ago

CBSE > Class 12 > Mathematics

3 answers

Ambarish Chatterjee 5 years, 1 month ago

Ans is 2

Diya Mittal 5 years, 1 month ago

We know that slope of line joining two points are y2-y1/x2-x1 hence slope of this line would be 2

Aswathy Jasmi 5 years, 1 month ago

Slope of a line joining points (2,0) & (4,4) =4-0/4-2=4/2=2 The answer is 2 ....plz thank me

ANSWER

Integration formula

Posted by Monalisha Patro 5 years, 1 month ago

CBSE > Class 12 > Mathematics

5 answers

Nikhil Kumar 5 years, 1 month ago

Binod

Nikhil Kumar 5 years, 1 month ago

Book Maan dekh le

Gaurav Kumar 5 years, 1 month ago

Kon sa

Gaurav Kumar 5 years, 1 month ago

Kon sa

Pranaya Mallik 5 years, 1 month ago

Please elaborate which formulae are you asking about.

ANSWER

What is the differentiation of Sin(cos(x²))with respect to x?

Posted by Kashish Chadha 5 years, 1 month ago

CBSE > Class 12 > Mathematics

2 answers

Shoaib Khan 5 years, 1 month ago

-2xsinx^2cos(cosx^2)

Tannu Jangra 5 years, 1 month ago

_2sin(x)^2cos(cosx^2)

ANSWER

dy/dx x -y =pie

Posted by Kushagri Bajaj 5 years, 1 month ago

CBSE > Class 12 > Mathematics

2 answers

Nikhil Kumar 3 years, 6 months ago

Question sahi ✅ likhya kar na

Pawan Kumar 3 years, 6 months ago

0/x-y

ANSWER

Int e^x(3-x^2)/(1-2x+x^2)dx

Posted by Shivam Singh 5 years, 1 month ago

CBSE > Class 12 > Mathematics

0 answers

ANSWER

Find dy/dx of ,y=1/sin(2x/1+x^2)

Posted by Sourav Attri 5 years, 1 month ago

CBSE > Class 12 > Mathematics

1 answers

Shreya Rani 5 years, 1 month ago

dy/dx =d [sin(2x/1+x^2)^-1] /dx =-1/sin^2(2x/1+x^2). d(2x/ 1+x^2)/dx =-1/sin^2(2x/1+x^2). [(1+x^2).d(2x)/dx - 2x.d(1+x^2)/dx)] / (1+x^2)^2 =1/sin^2(2x/1+x^2).[(1+x^2).2 - 2x.2x] / (1+x^2)^2 =1/sin^2(2x/1+x^2).(2+2x^2 - 4x^2) /(1+x^2)^2

ANSWER

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