simplify sin 2 theta over cos 2 theta - 1
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Answer:
The double angles sin(2theta) and cos(2theta) can be rewritten as sin(theta+theta) and cos(theta+theta). ... Sine of 2 theta equals 2 sine theta cosine theta.
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Step-by-step explanation:
Given Simplify sin 2 theta over cos 2 theta - 1
- Sin 2theta / cos2theta – 1
- So sin 2theta = 2 sin theta cos theta
- Now cos 2 theta = cos^2 theta – sin^2 theta--------1
- cos^2 theta = 1 – sin^2 theta
- Substituting this in equation 1 we get
- Cos 2 theta = 1 – sin^2 theta – sin^2 theta
- cos 2 theta = 1 – 2 sin^2 theta
- So we have the question
- Sin 2 theta / cos 2 theta – 1
- 2 sin theta cos theta / 1 – 2sin^2 theta – 1
- 2 sin theta cos theta / - 2sin^2 theta
- After cancelling sin theta we get = cos theta / - sin theta
- = - cot theta
Reference link will be
https://brainly.in/question/14071263
https://brainly.in/question/7806265
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