Math, asked by edwardenyi, 9 months ago

simplify sin 2 theta over cos 2 theta - 1 ​

Answers

Answered by ayan30332
9

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.

Answered by knjroopa
0

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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