Question

if cos theta + cos square theta equals to 1 then prove that sin square theta + sin power 4 theta equals to 1​

Answer 1

Answer:s

Step-by-step explanation:

Answer 2

Proving:

Step-by-step explanation:

$\ Given \ value:\\\\\cos \theta + \cos^2 \theta =1 \\\\Find:\\\\\sin^2 \theta + \sin^4 \theta =1 \\\\ \ Solution:\\\\\cos \theta + \cos^2 \theta =1 \\\\\rightarrow \cos \theta =1- \cos^2 \theta \\\\\rightarrow \cos \theta = \sin^2 \theta ......(i) \\\\\ square \ the \ value:\\\\ (\cos \theta)^2 = (\sin^2 \theta )^2\\\\ \cos^2 \theta = \sin^4 \theta \\\\\ Prove \ the \ equation:\\\\\sin^2 \theta + \sin^4 \theta =1 \\\\\ L.H.S \\\\\therefore \cos^2 \theta = \sin^4\theta$

$\sin^2 \theta + \cos^2 \theta\\\\\therefore \sin^2 \theta + \cos^2 \theta =1 \\\\\ So, \\\\\ L.H.S = R.H.S$

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• Proving: https://brainly.in/question/12431421