Prove that:
sec2thita + Cosec2thita= tan thita+cot thita
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Answer:
We use the following trigonometric identities:
sec
2
θ=tan
2
θ+1 and
cosec
2
θ=cot
2
θ+1
On adding these, we get:
sec
2
θ+cosec
2
θ=tan
2
θ+cot
2
θ+2
⇒sec
2
θ+cosec
2
θ=tan
2
θ+cot
2
θ+2tanθcotθ=(tanθ+cotθ)
2
⇒
sec
2
θ+cosec
2
θ
=tanθ+cotθ
Hence Proved.
Step-by-step explanation:
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