Identities with Angle Sums

Practice Questions

Trigonometry › Identities with Angle Sums

Questions

10

1

Given $\phi = \pi$ , what is $\tan\left ( \theta + \phi \right )$ ?

2

Find the exact value of $\cos 105^{\circ}$ using $105^{\circ} = 60^{\circ}+45^{\circ}$ .

3

Find the exact value of the expression:

$\sin 60^{\circ}\cos 30^{\circ} + \cos 60^{\circ} \sin 30^{\circ}$

4

Find the exact value of the expression:

$\cos\bigg(\frac{5\pi }{6}\bigg)\cos\bigg(\frac{2\pi}{3}\bigg)+\sin\bigg(\frac{5\pi}{6}\bigg)\sin\bigg(\frac{2\pi}{3}\bigg)$

5

Find the exact value of $\tan 75^{\circ}$ using $\tan 30^{\circ}$ and $\tan 45^{\circ}$ .

6

Suppose we have two angles, and , such that:

$sin\ A = 0.10$

$cos\ B = 0.10$

Furthermore, suppose that angle is located in the first quadrant and angle is located in the fourth.

What is the measure of:

7

Calculate $sin(105^\circ)$ .

8

What is the value of $\cos(540)$ , using the sum formula.

9

Simplify the given expression.

$\sin(x+y)-sin(x-y)$

10

Question

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