# NCERT Solutions for Class 10 Maths Exercise 8.4

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NCERT solutions for Maths Introduction to Trigonometry

## 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

NCERT Solutions Class 10 Maths PDF (Download) Free from myCBSEguide app and myCBSEguide website. Ncert solution class 10 Maths includes text book solutions from Mathematics Book. NCERT Solutions for CBSE Class 10 Maths have total 15 chapters. 10 Maths NCERT Solutions in PDF for free Download on our website. Ncert Maths class 10 solutions PDF and Maths ncert class 10 PDF solutions with latest modifications and as per the latest CBSE syllabus are only available in myCBSEguide.

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