SOLUTION: If tan β = 4/5 then, without a calculator, find tan( π/2 - β) and express the answer as a fraction.

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Question 1165339: If tan β = 4/5 then, without a calculator, find tan( π/2 - β) and express the answer as a fraction.
Found 2 solutions by ikleyn, noahmogs:
Answer by ikleyn(52884) About Me  (Show Source):
You can put this solution on YOUR website!
.

    tan%28pi%2F2-beta%29 = 1%2Ftan%28beta%29 = 1%2F%28%284%2F5%29%29 = 5%2F4.

Solved, answered and explained.



Answer by noahmogs(1) About Me  (Show Source):
You can put this solution on YOUR website!
tan(β)=4/5
π/2rad=90deg
When subtracting an angle in QI from 90 deg, move to QII.
Use the reciprocal function of tan:
cot(4/5)=5/4
Final Answer: 5/4