Math, asked by devananda621, 20 days ago

tan 70°-tan 50°/ tan 50°+tan 20°

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Answered by ruhisinghlife40

0

Answer:

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Prove that: tan70

∘

=tan20

∘

+2tan50

∘

.

Easy

Solution

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Consider tan70

∘

tan70

∘

=tan(20

∘

+50

∘

)

According to the trigonometric identity,

tan(A+B)=

1−tanAtanB

(tanA+tanB)

tan70

∘

=

1−tan20

∘

tan50

∘

(tan20

∘

+tan50

∘

)

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