Math, asked by snehadas1593, 2 months ago

tan 9°+ tan 81° - tan 27°- tan 63° =

Answers

Answered by honeysingh8th

2

Answer:

4

Step-by-step explanation:

Given

tan81+tan9−(tan63+tan27)

=cot9+tan9−(cot27+tan27)

=

sin9.cos9

(cos9)

2

+(sin9)

2

−

sin27.cos27

(cos27)

2

+(sin27)

2

=

sin9.cos9

1

−

sin27.cos27

1

=

sin18

2

−

sin54

2

=2.

sin54.sin18

sin54−sin18

=

cos36.sin18

4cos36sin18

=4

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