Free Printable Solution of trigonometric

1.

Given

\cos x=0.8

, and x is an acute angle, evaluate

5\sin x-3\tan x+3\operatorname{cosec}x

a)

$\frac{21}{4}$

b)

$\frac{1}{4}$

c)

$\frac{23}{4}$

d)

$\frac{51}{20}$

2.

Given

\sin\theta=\frac{5}{13}

, and

\theta

is in the second quadrant, find

\tan\ \theta\ and\ \sec\theta

a)

$\frac{5}{12},\ \frac{13}{12}$

b)

$-\frac{5}{12},\ -\frac{13}{12}$

c)

$-\frac{5}{12},\ \frac{12}{13}$

d)

$\frac{5}{12},-\frac{12}{13}$

3.

Solve

\sin\theta=\frac{1}{2},\ \ \ \ \ 0\le\theta\le2\pi

a)

$\theta=\frac{\pi}{6},\ \frac{7\pi}{6}$

b)

$\theta=\frac{\pi}{6},\ \frac{5\pi}{6}$

c)

$\theta=\frac{5\pi}{6},\ \frac{7\pi}{6}$

d)

$\theta=\frac{7\pi}{6},\ \frac{11\pi}{6}$

4.

Find the general solution of the equation in the interval

0\le x\le2\pi

a)

$\frac{\pi}{6},\ \frac{11\pi}{6}$

b)

$\frac{\pi}{6}$

c)

$\frac{11\pi}{6}$

d)

$\frac{\pi}{3},\ \frac{11\pi}{3}$

5.

Solve on the interval

0\degree\le x\le360\degree\

for

2\cos x-1=0

a)

$60\degree,\ 120\degree$

b)

$60\degree,\ 240\degree$

c)

$120\degree,240\degree$

d)

$60\degree,\ 300\degree$

6.

Solve $\cos x=\frac{\sqrt{3}}{2}$ if $-180\degree\le x\le180\degree$

a)

$30\degree,\ 330\degree$

b)

$30\degree,\ 150\degree$

c)

$30\degree,\ -30\degree$

d)

$60\degree,\ -60\degree$

7.

Which of the following is NOT

a solution to

tan θ = 0 ?

a)

θ = 0

b)

θ = π /2

c)

θ = π

d)

θ = 2π

8.

Solve $\sin\ \theta=-1\ \ \ \ \ 0\le\theta\le2\pi$

a)

θ = π /2, 3π /2

b)

θ = π /2

c)

θ = 3π /2

d)

θ = π

Solution of trigonometric

Total questions: 8

Worksheet time: 2hrs 50mins

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