Mathematics and Statistics (Arts & Science) Part 1>Chapter 3 - Trigonometry - II>MISCELLANEOUS EXERCISE - 3>Q 1

MEDIUM

11th Maharashtra Board

IMPORTANT

Earn 100

The value of $\sin (n + 1) A \sin (n + 2) A + \cos (n + 1) A \cos (n + 2) A$ is equal to

66.67% studentsanswered this correctly

Important Questions on Trigonometry - II

MEDIUM

11th Maharashtra Board

IMPORTANT

Mathematics and Statistics (Arts & Science) Part 1>Chapter 3 - Trigonometry - II>MISCELLANEOUS EXERCISE - 3>Q 2

If

\tan A - \tan B = x

and

\cot B - \cot A = y

, then

\cot (A - B) =

MEDIUM

11th Maharashtra Board

IMPORTANT

Mathematics and Statistics (Arts & Science) Part 1>Chapter 3 - Trigonometry - II>MISCELLANEOUS EXERCISE - 3>Q 3

If

sinθ = n \sin (θ + 2 α)

, then

\tan (θ + α)

is equal to

MEDIUM

11th Maharashtra Board

IMPORTANT

Mathematics and Statistics (Arts & Science) Part 1>Chapter 3 - Trigonometry - II>MISCELLANEOUS EXERCISE - 3>Q 4

The value of

\frac{cosθ}{1 + sinθ}

is equal to

MEDIUM

11th Maharashtra Board

IMPORTANT

Mathematics and Statistics (Arts & Science) Part 1>Chapter 3 - Trigonometry - II>MISCELLANEOUS EXERCISE - 3>Q 5

The value of

\cos A \cos (60^{\circ} - A) \cos (60^{\circ} + A)

is equal to

HARD

11th Maharashtra Board

IMPORTANT

Mathematics and Statistics (Arts & Science) Part 1>Chapter 3 - Trigonometry - II>MISCELLANEOUS EXERCISE - 3>Q 6

The value of $\sin \frac{π}{14} \sin \frac{3 π}{14} \sin \frac{5 π}{14} \sin \frac{7 π}{14} \sin \frac{9 π}{14} \sin \frac{11 π}{14} \sin \frac{13 π}{14}$ is equal to

HARD

11th Maharashtra Board

IMPORTANT

Mathematics and Statistics (Arts & Science) Part 1>Chapter 3 - Trigonometry - II>MISCELLANEOUS EXERCISE - 3>Q 7

If

α + β + γ = π

, then the value of

\sin^{2} α + \sin^{2} β - \sin^{2} γ

is equal to

MEDIUM

11th Maharashtra Board

IMPORTANT

Mathematics and Statistics (Arts & Science) Part 1>Chapter 3 - Trigonometry - II>MISCELLANEOUS EXERCISE - 3>Q 8

Let

0 < A, B < \frac{π}{2}

satisfying the equation

3 \sin^{2} A + 2 \sin^{2} B = 1

and

3 \sin 2 A - 2 \sin 2 B = 0

then

A + 2 B

is equal to

EASY

11th Maharashtra Board

IMPORTANT

Mathematics and Statistics (Arts & Science) Part 1>Chapter 3 - Trigonometry - II>MISCELLANEOUS EXERCISE - 3>Q 9

In

∆ A B C

if

\cot A \cot B \cot C > 0

, then the triangle is