Free Printable Sum Difference Double Half Angles Identities

1.

$\cos70^o\cos40^o-\sin70^o\sin40^o\$ is equivalent to

a)

$\cos30^o$

b)

$\cos70^{o\ }$

c)

$\cos110^o$

d)

$\sin70^{o\ }$

2.

If $\sin A=\frac{3}{5},\sin B=\frac{2}{3},$ $and\ \angle A\ and\ \angle B$ are acute angles, what is the value of $\cos\left(A-B\right)?$

a)

$-\frac{2}{3}$

b)

$\frac{4\sqrt{5}-6}{15}$

c)

$\frac{4\sqrt{5}+2}{5}$

d)

$\frac{4\sqrt{5}+6}{15}$

3.

If $\cos A=\frac{1}{3}$ , then the positive value of $\tan\ \frac{A}{2}$ ?

a)

$\sqrt{2}$

b)

$\sqrt{3}$

c)

$\frac{\sqrt{3}}{3}$

d)

$\frac{\sqrt{2}}{2}$

4.

If $\tan A=\frac{2}{3}\ and\ \tan B=\frac{1}{2},$ what is the value of $\tan\left(A+B\right)?$

a)

$\frac{1}{8}$

b)

$\frac{7}{8}$

c)

$\frac{1}{4}$

d)

$\frac{7}{4}$

5.

If $\sin A=\frac{4}{5},\tan B=\frac{5}{12},$ and A and B are first quadrant angles, what is the value of $\sin\left(A+B\right)$ ?

a)

$\frac{63}{65}$

b)

$-\frac{33}{65}$

c)

$\frac{33}{65}$

d)

$-\frac{63}{65}$

6.

$\sin96^o\cos24^o+\cos96^o\sin24^o\$ is equivalent to

a)

$\sin120^o$

b)

$\sin72^{o\ }$

c)

$\cos120^o$

d)

$\cos72^o$

7.

The expression $2\sin30^o\cos30^o$ has the same value as

a)

$\sin15^o$

b)

$\cos60^o$

c)

$\sin60^o$

d)

$\cos15^o$

8.

If x is a positive acute angle and $\sin x=\frac{1}{2},$ what is $\sin2x?$

a)

$-\frac{1}{2}$

b)

$\frac{1}{2}$

c)

$-\frac{\sqrt{3}}{2}$

d)

$\frac{\sqrt{3}}{2}$

9.

If $\cos\theta=\frac{1}{8},$ the positive value of $\sin\ \frac{\theta}{2}$ is

a)

$\frac{3}{2}$

b)

$\frac{\sqrt{7}}{4}$

c)

$\frac{9}{16}$

d)

$\frac{3}{4}$

10.

If $\sin\theta=\frac{\sqrt{5}}{3}$ , then $\cos2\theta$ equals

a)

$\frac{1}{3}$

b)

$-\frac{1}{3}$

c)

$\frac{1}{9}$

d)

$-\frac{1}{9}$

Sum Difference Double Half Angles Identities

Total questions: 10

Worksheet time: 3hrs 30mins

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