Q. 173.5( 13 Votes )

Prove that : tan

Answer :

Formula: - (i)


(ii) tan(90° – A) = cot A


Taking formula (i)


tanA – tanB = tan(A – B)(1 + tanAtanB)


tan70° – tan20° = tan(70° – 20°)(1 + tan70°tan20°)


tan70° – tan20° = tan50°(1 + tan70°cot70°) - - - - from formula (ii)


tan70° – tan20° = 2tan50°


L.H.S = R.H.S


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