Question

find the value of tan 1 + tan 89​

Answer 1

Answer:

Correct option is b. sin(2∘)2

tan(1o)+tan(89o)=tan(1o)+cot(1o)

=cos1osin1o+sin1ocos1o=sin1ocos1osin21o+cos21o=sin1ocos1o1

=2sin1ocos1o2=sin2o2

Formula used:  sin2θ+cos2θ=1 and sin2θ=2sinθcosθ

Also cot(90o−θ)=cotθ

Answer 2

Answer:

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Step-by-step explanation:

Formula used:  sin

2

θ+cos

2

θ=1 and sin2θ=2sinθcosθ

Also cot(90

o

−θ)=cotθ

@Chichora