Math, asked by aparnau1977, 2 months ago

prove that: 1/cottheta-cot3theta + 1/tan3theta-tantheta

Answers

Answered by earthrajpradhan2020

1

Answer:

We have

cotθ−cot3θ

cotθ

+

tanθ−tan3θ

tanθ

=

sinθ

cosθ

−

sin3θ

cos3θ

sinθ

cosθ

+

cosθ

sinθ

−

cos3θ

sin3θ

cosθ

sinθ

=

sinθsin3θ

cosθsin3θ−cos3θsinθ

sinθ

cosθ

+

cosθcos3θ

sinθcos3θ−sin3θcosθ

cosθ

sinθ

=

cosθsin3θ−cos3θsinθ

cosθsin3θ

+

sinθcos3θ−sin3θcosθ

sinθcos3θ

=

cosθsin3θ−cos3θsinθ

cosθsin3θ

−

sin3θcosθ−sinθcos3θ

sinθcos3θ

=

cosθsin3θ−cos3θsinθ

cosθsin3θ−sinθcos3θ

=1

Step-by-step explanation:

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