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Trigonometry > Computations of Inverse Trigonometric Functions
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Computations of Inverse Trigonometric Functions

Main formulas:

  • For any angle x for which the tangent and secant are defined, we have tan2 x + 1 = sec2 x.
  • For any angle x for which the tangent and secant are defined, we have cot2 x + 1 = csc2 x.

Example 1:

Prove the identity tan2 x + 1 = sec2 x.

Example 2:

Given that tanθ = − 4.21 and (π/2) < θ < π , find secθ .

Example 3:

Prove the following trigonometric identity:
cscθ − cotθ

secθ − 1
= cotθ

Example 4:

Prove the identity cot2 x + 1 = csc2 x.

Example 5:

Given that secθ = (13/12) and 270° < θ < 360° , find tanθ .
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