Question

if tan ^_1x _ cot^_1x = pi/6 then x is
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Answer 1

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Maths

Inverse Trigonometric Functions

Inverse Trigonometric Functions

If sin- 1x - cos- 1x = π6 ...

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Asked on December 26, 2019 by

Prasanna Cheema

If sin

−1

x−cos

−1

x=

6

π

, then solve for x.

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ANSWER

We have

sin

−1

x−cos

−1

x=π/6

⇒sin

−1

x+cos

−1

x−2⋅cos

−1

x=π/6

⇒π/2−2⋅cos

−1

x=π/6

⇒−2⋅cos

−1

x=π/6−π/2

⇒−2⋅cos

−1

x=

6

π−3π

⇒−2⋅cos

−1

x=

6

π

−

6

3π

⇒2⋅cos

−1

x=2π/6

⇒cos

−1

x=

6.2

2π

⇒cos

−1

x=π/6

⇒x=cosπ/6

⇒x=

3

/2.

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