Question

2tan⁻¹(cos x) = tan⁻¹ (2 cosec x)

Answer 1

Answer:

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Answer 2

Given   : 2tan⁻¹(cos x) = tan⁻¹ (2 cosec x)

To find :   समीकरण को सरल कीजिए  

Solution:

2tan⁻¹(cos x) = tan⁻¹ (2 cosec x)

दोनों तरफ Tan लेने पर

=> Tan ( 2tan⁻¹(cos x))  = Tan (tan⁻¹ (2 cosec x))

Tan2α  = 2Tanα/(1 - Tan²α)

α = tan⁻¹(cos x)

=> 2Cosx/(1 - Cos²x) = 2Cosecx

=> Cosx/sin²x = 1/Sinx

=> Cosx/sinx = 1

=> Cotx = 1

=> x = π/4

x = π/4

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