SOLUTION: tanθ+cotθ =2,tan^3θ+cot^3θ=___________

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Question 982027: tanθ+cotθ =2,tan^3θ+cot^3θ=____________
Answer by Edwin McCravy(20065) About Me  (Show Source):
You can put this solution on YOUR website!
tanθ+cotθ =2,
tan%5E3%28theta%29%2Bcot%5E3%28theta%29%22%22=%22%22%22%3F%22

tan%28theta%29%2Bcot%28theta%29%22%22=%22%222
tan%28theta%29%2B1%2Ftan%28theta%29%22%22=%22%222
tan%5E2%28theta%29%2B1%22%22=%22%222tan%28theta%29
tan%5E2%28theta%29-2tan%28theta%29%2B1%22%22=%22%220
%28tan%28theta%29-1%29%5E2%22%22=%22%220
tan%28theta%29-1%22%22=%22%220
tan%28theta%29%22%22=%22%221

So

tan%5E3%28theta%29%2Bcot%5E3%28theta%29%22%22=%22%22tan%5E3%28theta%29%2B1%2Ftan%5E3%28theta%29%22%22=%22%221%5E3%2B1%2F1%5E3%22%22=%22%221%2B1%2F1%22%22=%22%221%2B1%22%22=%22%222

Edwin