Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>EXERCISE 20.4>Q 29

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Find the number of solution of the $\sin (x^{2} + x + 1) = 2^{x} + 2^{- x}$

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Important Questions on Trigonometric Functions

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Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>EXERCISE 20.4>Q 30

If

r \sin θ = 3, r = 4 (1 + \sin θ)

, where

0 \leq θ \leq 2 π

, then

θ

is equal to

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Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>EXERCISE 20.4>Q 31

The number of solutions of equations

\sin 2 x + \cos 2 x + \sin x + \cos x + 1 = 0

in

[0, 2 π]

is

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Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>EXERCISE 20.4>Q 32

The number of solutions of the

x + 2 + \tan x = \frac{π}{2}

in

[0, 2 π]

is

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Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>EXERCISE 20.4>Q 33

Solve for

x

and

y

x^{2} + 2 x \sin (x y) + 1 = 0

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Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>EXERCISE 20.4>Q 34

Find the values of $α$ and $β, 0 < α, β < \frac{π}{2}$ satisfying the following equation $\cos α \cos β \cos (α + β) = - \frac{1}{8}$ .

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Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>EXERCISE 20.4>Q 35

If

\cos (A - B) = \frac{1}{2}

and

\sin (A + B) = \frac{1}{2}

, find the smallest positive values of

A

and

B

.

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Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>EXERCISE 20.5>Q 38

If a flagstaff subtends equal angles at four points

A, B, C

and

D

on the horizontal plane through the foot of the flagstaff, then

A, B, C

and

D

must be the vertices of

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Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>EXERCISE 20.5>Q 39

A person standing on the bank of a river, observes that the angle of elevation of the top of a tree on the opposite bank of the river is

60 °

and when he retreats

40 m

away from the tree the angle of elevation becomes

30 ° .

The breadth of the river is