Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>Assignment>Q 25

HARD

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IMPORTANT

Earn 100

Compare $\sin 1$ and $\sin 2, \cos 1$ and $\cos 2, \tan 1$ and $\tan 2$ .

Important Questions on Trigonometric Functions

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IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>Assignment>Q 26

Prove that

\sin α + \sin (α + \frac{2 π}{3}) + \sin (α + \frac{4 π}{3}) = 0

.

EASY

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IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>Assignment>Q 1

If

\tan θ = 3

and

θ

lies in third quadrant, then the value of

\sin θ

is

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IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>Assignment>Q 2

If A lies in the second quadrant and

3 \tan A + 4 = 0,

the value of

2 \cot A - 5 \cos A + \sin A

is equal to

EASY

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IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>Assignment>Q 3

The value of

(\sec A + \tan A - 1) (\sec A - \tan A + 1) - 2 \tan A

is equal to

EASY

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IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>Assignment>Q 4

The circular wire of diameter

10 cm

is cut and placed along the circumference of a circle of diameter

1 m .

The angle subtended by the wire at the centre of the circle is equal to

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IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>Assignment>Q 5

If

\sin θ_{1} + \sin θ_{2} + \sin θ_{3} = 3,

then

\cos θ_{1} + \cos θ_{2} + \cos θ_{3} =

EASY

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IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>Assignment>Q 6

The value of

\cos 10 ° - \sin 10 °

is

EASY

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IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>Assignment>Q 7

The value of

\cos 1 ° \cdot \cos 2 ° \cdot \cos 3 ° \cdot . . . \cdot \cos 179 °

is