Question

tan theeta +cot theeta = 2 then find the value of sin theeta + cos theeta =​

Answer 1

Answer:

Solution :

tanθ+cotθ=2

⇒tanθ+1tanθ=2

⇒tan2θ−2tanθ+1=0

⇒(tanθ−1)2=0

⇒tanθ=1

⇒θ=45∘

∴sinθ=sin452=12–√.

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Updated On: 24-5