Question

evaluate tan255+tan345/tan195-tan105 if cot15=m

Answer 1

Ans.

(tan 255 + tan 345)/(tan 195 - tan 105)

= {tan (270 - 15) + tan (360 - 15)}/{tan (180+15) - tan (90+15)}

= (cot 15 - tan 15)/(tan 15 + cot 15)

= (m - 1/cot15)/(1/cot15 + m)

= (m - 1/m)/(1/m + m)

= (m^2 - 1) / (m^2 + 1)

Answer 2

Answer:

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