Question

tan-¹ = √1+cosx÷ 1-cosx
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Answer 1

Step-by-step explanation:

tan-1=√1+cosx÷1-cosx

= tan-1(√1-cosx÷1+cosx)

= tan-1(√2sin^2 x/2÷2cos^2 x/2)

= tan-1(sin x/2÷cos x/2) = tan-1 (tan x/2)

=x/2 [ans]

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