SOLUTION: If tan β=4/5, find tan(π/2-β) *Write your answer as a fraction

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Question 1186267: If tan β=4/5, find tan(π/2-β)

*Write your answer as a fraction
Answer by ikleyn(52879) About Me  (Show Source):
You can put this solution on YOUR website!
.

For any angle  beta,  different from  0,  pi%2F2,  pi,  and  3pi%2F2


    tan%28pi%2F2-beta%29 = 1%2Ftan%28beta%29.



THEREFORE, in your case  tan%28pi%2F2-beta%29 = 1%2F%28%284%2F5%29%29 = 5%2F4.    ANSWER

Solved and explained.