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Andrews [41]
3 years ago
5

Prove the identity of tan(pi - x) = - tan x

Mathematics
1 answer:
liq [111]3 years ago
8 0

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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