Simplifying Trigonometric Functions

Practice Questions

Trigonometry › Simplifying Trigonometric Functions

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1

$tan (x)*sin(x) + sec(x)*(cos x)^{2} =$

2

Simplify the following expression:

$A=cos(\frac{3\pi}{2}+x)+sin (\pi+x)+cos(\frac{\pi}{2}+x)+sin(\pi-x)$

3

Give the value of :

$A=\frac{2sin(\frac{\pi}{2})+4cos(\frac{\pi}{2})}{4sin(\frac{\pi}{2})-cos(\frac{\pi}{2})}$

4

If $tan\ x = \frac{1}{4}$ , solve for

$D=\frac{sin\ x}{sin\ x-cos\ x}+\frac{sin\ x+cos\ x}{cos\ x}$

5

If $cot\ x= 3$ , give the value of :

$D=\frac{cos^2x}{(sin\ x)(cos\ x)}-\frac{sin\ x+cos\ x}{sin\ x}$

6

Simplify the following trionometric function:

$\frac{4sin^2(60^{\circ})-tan(45^{\circ})}{3sin(45^{\circ})}$

7

Simplify the following expression:

$A=\frac{sin^2x}{1+tan^2x}-\frac{cos^2x}{1+cot^2x}+1$

8

Simplify the following trigonometric function in fraction form:

$cos^{2}(45^{\circ})-sin(30^{\circ})$

9

If $cos\ x=\frac{1}{3}$ and $sin\ x eq 0$ , give the value of $\frac{sin\ x+sin\ 2x}{sin\ x-sin\ 2x}$ .

10

If $x=\frac{\pi}{3}$ , give the value of $\frac{sin\ x}{sin\ x+cos\ 2x}$ .

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