Sign up for FREE

HPC WB3.7 - Trig Proofs Day 2

Last updated over 5 years ago

8 questions

1

1

1

1

1

1

1

1

Question 1

1.

Verify \frac{1-\cos 2x}{\cos^2 x} = 2\tan^2 x.

Question 2

2.

Verify 2\tan 2x\cos 2x = \frac{\sin 4x}{\cos 2x}.

Question 3

3.

Verify 2\cos^2 x \sin x = \frac{\sin 2x}{\sec x}.

Question 4

4.

Verify 2\sin x \cos x + \sec^{2} x = 1+ \sin 2x+ \tan^2 x.

Question 5

5.

Verify \tan\left( \frac{\pi}{4} + \theta \right) = \frac{1+\tan \theta}{1-\tan \theta}.

Question 6

6.

Verify \tan\left( \theta - 135^\circ \right) = \frac{\tan \theta +1}{1-\tan \theta}.

Question 7

7.

Verify \tan\left(\frac{3\pi}{4}+\theta\right) = \frac{\tan\theta -1}{\tan\theta +1}.

Question 8

8.

Verify \frac{\cot^2 x - 2\cos^2 x}{\cot x} = \frac{\cos 2x}{\tan x}.