Question

Evaluate tan69 +tan66/1-tan69tan66

Answer 1

Hi ,

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( tanA + tanB )/( 1 - tanAtanB

= tan(A+B )

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( tan69+tan66)/(1-tan69tan66)

= tan( 69 + 66 )

= tan 135

= tan ( 90 + 45 )

= - cot 45

= -1

I hope this helps you.

: )

Answer 2

Hey !!



Tan69 + Tan66 / 1 - Tan69 Tan 66 = Tan ( 69 + 66 ) [ Since TanA + TanB / 1 - TanA TanB = Tan( A + B ). ]




=> Tan ( 135 )



=> Tan ( 90 + 45 )



=> - Cot 45°



=> -1