Evaluate

Geometry Level 2

tan ⁡ ( 6 9 ∘ ) + tan ⁡ ( 6 6 ∘ ) 1 − tan ⁡ ( 6 9 ∘ ) tan ⁡ ( 6 6 ∘ ) = ? \dfrac{\tan(69^\circ)+\tan(66^\circ)}{1-\tan(69^\circ)\tan(66^\circ)} = \, ?

-2 1 8 5 2 -4 -1 3

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Ronojoy Paul by Ronojoy Paul , 21, India

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1 solution

Rishabh Tiwari
May 17, 2016

We know tan(A+B) = (tanA + tanB)/1-tanA•tanB.......

Using it we get ,.....→→ tan(69+65) =

tan135 =

tan (180-45)=

-tan45=

-1

Ans..thank you.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Solved it the same way nice explanation (+1)

Ashish Menon - 5 years ago

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