prove that cot 2 theta + tan theta =cosec 2 theta
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2
Answer:
question is wrong
it must be
cotx +tanx -- cosec2x
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Step-by-step explanation:
LHS
=>(cos 2 theta/sin 2 theta)+(sin theta/cos theta)
=>(1-2sin^2 theta/2 sin theta cos theta) +sin theta/cos theta
(°•°cos 2 theta=1-2sin^2theta
sin 2 theta=2 sin theta cos theta)
=>1/cos theta(1-2sin^2 theta/2sin theta+sin theta/1)
=>1/cos theta (1-2sin^2 theta+2sin^2 theta/2sin theta)
=>1/2cos theta sin theta
=>1/sin^2 theta
(°•°sin^2 theta= 2cos theta sin theta)
=>cosec 2 theta
(°•°1/sin^2theta=cosec 2 theta)
=>RHS
Hence,proved...
Hope it helps.......
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