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Find all other trigonometrical ratios in …

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Find all other trigonometrical ratios in triangle PQR, angle Q=90degree and tan=3/4

Posted by Prãvëëñ Yâdåv 5 years, 1 month ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 5 years, 1 month ago

If Tan A = 3/4, then find the other trigonometric ratio of angle A.

sol) Tan A = Opposite side = 3
Adjacent side 4

.^., opposite side : adjacent side = 3:4

For angle A,

opposite side = BC=3k

Adjacent side =AB=4k(where k is any +ve no)

Now, we have in triangle ABC( by Pythagoras theorem)

AC^2 = AB^2 + BC^2

=>(3k)^2 + (4k)^2 = 25k^2

AC = √25k^2

=> 5k = Hypotenuse

Now,we can easily write the other ratios of trigonometry

sin A = 3k = 3
   5k    5

cos A = 4k = 4
   5k    5

cosec A =   1    =  5
   sin A 3

sec A =   1     =   5
   cos A 4

cot A =   1      =  4
   tan A 3

ANSWER

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