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5 votes
Simplify (tan(θ)+cot(θ))/(sec(θ)•csc(θ)) completely

User Uris
by
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1 Answer

4 votes

(\tan\theta+\cot\theta)/(\sec\theta\csc\theta)=\frac{(\sin\theta)/(\cos\theta)+(\cos\theta)/(\sin\theta)}{\frac1{\cos\theta}\frac1{\sin\theta}}=\frac{\sin^2\theta+\cos^2\theta}1=1
User Gennadii Saprykin
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