MATHEMATICS CLASS X>Chapter 10 - Trigonometric Ratios>EXERCISE 10.3>Q 10

EASY

10th CBSE

IMPORTANT

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If $\sin θ = \cos (θ - 45 °),$ where $θ$ and $(θ - 45 °)$ are acute angles, find the degree measure of $θ$ .

Important Questions on Trigonometric Ratios

EASY

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 10 - Trigonometric Ratios>EXERCISE 10.3>Q 11

If

A, B, C

are the interior angles of a

∆ A B C

, show that:

\sin \frac{B + C}{2} = \cos \frac{A}{2}

EASY

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 10 - Trigonometric Ratios>EXERCISE 10.3>Q 11

If $A, B, C$ are the interior angels of a $∆ A B C$ , show that $\cos \frac{B + C}{2} = \sin \frac{A}{2}$ .

EASY

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 10 - Trigonometric Ratios>EXERCISE 10.3>Q 12

If

2 θ + 45 °

and

30 ° - θ

are acute angles, find the degree measure of

θ

satisfying

s i n (2 θ + 45 °) = c o s (30 ° - θ) .

EASY

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 10 - Trigonometric Ratios>EXERCISE 10.3>Q 13

If

θ

is a positive acute angle such that

s e c θ = c o s e c 60 °

, find the value of

2 \cos^{2} θ - 1 .

EASY

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 10 - Trigonometric Ratios>EXERCISE 10.3>Q 14

If

\cos 2 θ = \sin 4 θ,

where

2 θ

and

4 θ

are acute angles, find the value of

θ

.

EASY

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 10 - Trigonometric Ratios>EXERCISE 10.3>Q 15

If

\sin 3 θ = \cos (θ - 6 °)

, where

3 θ

and

θ - 6 °

are acute angles, find the value of

θ

.

EASY

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 10 - Trigonometric Ratios>EXERCISE 10.3>Q 16

If

\sec 4 A = c o s e c (A - 20 °)

, where

4 A

is an acute angle, find the value of

A

.

EASY

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 10 - Trigonometric Ratios>EXERCISE 10.3>Q 17

If

\sec 2 A = c o s e c (A - 42 °)

where

2 A

is an acute angle, find the value of

A

.