मराठी

General solution of tan 5θ = cot 2θ is -

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प्रश्न

General solution of tan 5θ = cot 2θ is

पर्याय

  • θ = `(npi)/7 + pi/4`

  • θ = `(npi)/7 + pi/5`

  • θ = `(npi)/7 + pi/2`

  • θ = `(npi)/7 + pi/3`

MCQ

उत्तर

θ = `(npi)/7 + pi/4`

Explanation:

Given, tan 5θ = cot 2θ

⇒ `tan 5theta = tan(pi/2 - 2theta)`  ......`[because tan(pi/2 - theta) = cot theta]`

⇒ `5theta = npi + pi/2 - 2theta`

⇒ `7theta = npi + pi/2`

⇒ `theta = (npi)/7 + pi/14`.

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