How do you simplify $(tan 80° + tan 55°)/(1 – tan 80° tan 55°)$ ?

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Answer 1 · 2015-11-29T21:14:32

Simplify trig expression.

Ans: tan 135

Use the trig identity: $tan (a + b) = (tan a + tan b)/(1 - tan a.tan b)$
$(tan 80 + tan 55)/(1 - tan 80.tan 55) = tan (80 + 55) = tan 135^@$

How do you simplify (tan 80° + tan 55°)/(1 – tan 80° tan 55°)(tan 80° + tan 55°)/(1 – tan 80° tan 55°)?