MATHEMATICS CLASS X>Chapter 10 - Trigonometric Ratios>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 23

MEDIUM

10th CBSE

IMPORTANT

Earn 100

If $θ$ and $2 θ - 45 °$ are acute angles such that $\sin θ = \cos (2 θ - 45 °),$ then $\tan θ$ is equal to

50% studentsanswered this correctly

Important Questions on Trigonometric Ratios

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 10 - Trigonometric Ratios>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 24

If

5 θ

and

4 θ

are acute angles satisfying

\sin 5 θ = \cos 4 θ,

then

2 \sin 3 θ - \sqrt{3} \tan 3 θ

is equal to

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 10 - Trigonometric Ratios>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 25

If

A + B = 90 °

, then

\frac{\tan A \tan B + \tan A \cot B}{\sin A \sec B} - \frac{\sin^{2} B}{\cos^{2} A}

is equal to

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 10 - Trigonometric Ratios>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 26

\frac{2 \tan 30 °}{1 + \tan^{2} 30 °}

is equal to

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 10 - Trigonometric Ratios>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 27

\frac{1 - \tan^{2} 45 °}{1 + \tan^{2} 45 °}

is equal to

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 10 - Trigonometric Ratios>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 28

\sin 2 A = 2 \sin A

is true when

A =

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 10 - Trigonometric Ratios>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 29

\frac{2 \tan 30 °}{1 - \tan^{2} 30 °}

is equal to

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 10 - Trigonometric Ratios>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 30

If

A, B

and

C

are interior angles of a triangle

△ A B C

, then

\sin (\frac{B + C}{2}) =

HARD

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 10 - Trigonometric Ratios>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 31

If

\cos θ = \frac{2}{3},

then

2 \sec^{2} θ + 2 \tan^{2} θ - 7

is equal to