Question

If sec theta.sin theta = 0 , then find the value of theta

Answer 1

Here is your answer user.

Answer 2

θ = nπ,  where n = 0, ±1, ±2,..

Given:

secθ.sinθ = 0

To find:

The value of θ.

Solution:

secθ. sinθ = 0

=) (1/cosθ).sinθ = 0 ( secθ = 1/cosθ )

=) sinθ/cosθ = 0

=) tanθ = 0

tanθ is generally 0 at  multiples of the 'π'.

Hence, θ=nπ where n= 0, ± 1, ±2,....

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