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Grade 12Trigonometry

Solve the equation for x :-
Tan(cos^-1x) = sin(cot^-11/2)

Vishesh

8 Years agoGrade 12

1 Answer

Arun

8 Years ago

Dear Vishesh

Let cot^-1 1/2 = y

cot y = ½

Tan y = 2

Hence

Sin y = 2/ $\sqrt$ 5

Now question becomes as

tan (cos ^-1 x) = siny = 2/ $\sqrt$ 5

cos^-1 x = tan^ -1 (2/ $\sqrt$ 5)

cos^-1 x = cos^-1 ( 1/ $\sqrt$ 5)

Hence

x = 1/ $\sqrt$ 5

Regards

Arun (askIITians Forum expert)

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