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anonymous
 5 years ago
show that cos+sin+tan(sin)+cot(cos)=sec+csc
anonymous
 5 years ago
show that cos+sin+tan(sin)+cot(cos)=sec+csc

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gw2011
 5 years ago
Best ResponseYou've already chosen the best response.0First, we need the following simplications: tan=sin/cos cot=1/tan=cos/sin sin^2+cos^2=1, and sin^2=1cos^2, and cos^2=1sin^2 cos+sin+(sin/cos)(sin)+(cos/sin)(cos) =cos+sin+(sin^2/cos)+(cos^2/sin) =cos+sin+(1cos^2)/cos+(1sin^2)/sin =cos+sin+(1/cos)(cos^2/cos)+(1/sin)(sin^2/sin) =cos+sin+(1/cos)cos+(1/sin)sin =(1/cos)+(1/sin)=sec+csc
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