Question

If n is a natural number, which of the following is the solution to the equation tan(5a)=cot(3a)? ​

Answer 1

+

16

π

Given,

tan5θ=cot3θ

tan5θ=tan(

2

π

−3θ)

or, 5θ=nπ+

2

π

−3θ [ Where n∈Z]

or, 8θ=nπ+

2

π

or, θ=

8

nπ

+

16

π

Step-by-step explanation:

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