Prove the identity of tan(pi - x) = - tan x
1 answer:
Two ways:
Step-by-step explanation:
1. First way. Using the trig unit circle.
tan (pi - x) = - tan x
2. Second way. Apply the identity:
tan(a-b)=tan a- tan b/ 1 - tan a×tan b
tan (π - x)= tan π - tanx/1 - tan(π)×tanx
Since tan (pi) = 0, therefor:
tan(π−x)=−tanx
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