NCERT Solutions for Class 10 Maths Exercise 8.4

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NCERT Solutions for Class 10 Maths Exercise 8.4 Class 10 Maths book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE board exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 10 Maths chapter wise NCERT solution for Maths Book for all the chapters can be downloaded from our website and myCBSEguide mobile app for free.

NCERT solutions for Maths Introduction to Trigonometry Download as PDF

NCERT Solutions for Class 10 Maths Exercise 8.4

NCERT Solutions for Class 10 Maths Introduction to Trigonometry

1. Express the trigonometric ratios and in terms of

Ans. For

By using identity

For

By using identity

=

For


2. Write the other trigonometric ratios of A in terms of

Ans. For

By using identity,

=

For

For

By using identity

For

=

For


NCERT Solutions for Class 10 Maths Exercise 8.4

3. Evaluate:

(i)

(ii)

Ans. (i)

=

=

=

(ii)

=

=

= = 1


NCERT Solutions for Class 10 Maths Exercise 8.4

4. Choose the correct option. Justify your choice:

(i) =

(A) 1

(B) 9

(C) 8

(D) 0

(ii) =

(A) 0

(B) 1

(C) 2

(D) none of these

(iii) =

(A)

(B)

(C)

(D)

(iv) =

(A)

(B)

(C)

(D) none of these

Ans. (i) (B)

=

=

(ii) (C)

=

=

=

=

=

= = 2

(iii)(D)

=

=

= =

=

(iv)(D) =

= =

= =


NCERT Solutions for Class 10 Maths Exercise 8.4

5. Prove the following identities, where the angles involved are acute angles for which the expressions are defined:

(i)

(ii)

(iii)

(iv)

(v) , using the identity

(vi)

(vii)

(viii)

(ix)

(x)

Ans. (i) L.H.S.

=

=

=

=

=

=

=

= = R.H.S.

(ii) L.H.S.

=

=

=

= =

= = = R.H.S

(iii) L.H.S.

=

=

=

=

=

=

=

= =

=

(iv) L.H.S.

= =

=

=

= = R.H.S.

(v) L.H.S.

Dividing all terms by

= =

=

=

=

= = R.H.S.

(vi) L.H.S.

=

=

=

= =

= = R.H.S.

(vii) L.H.S.

=

=

=

= =

= = R.H.S

(viii) L.H.S.

=

=

=

=

=

=

=

= R.H.S.

(ix) L.H.S.

=

=

= =

=

Dividing all the terms by ,

=

=

= = R.H.S.

(x) L.H.S. =

= = = R.H.S.

Now, Middle side = =

=

= =

= = R.H.S.

NCERT Solutions for Class 10 Maths Exercise 8.4

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