Geometry

Trigonometric Functions

Inverse Trigonometric Functions

         

If sin1(12)=θ\sin^{-1}\left(\frac{1}{2}\right) = \theta^\circ , where 90θ90-90 \leq \theta \leq 90, what is the value of θ \theta?

What is the value of cos1(32) \cos^{-1} \left(- \frac { \sqrt{3} } {2} \right) (in degrees)?

Which of the following is equal to tan1(1)? \tan^{-1} \left( 1 \right) ?

ABCABC is a right triangle with hypotenuse 3535, and has an angle α\alpha that is equal to sin1(35)\sin^{-1}\left(\frac{3}{5}\right) . XYZXYZ is a right triangle with hypotenuse 143143, and has an angle β\beta that is equal to cos1(513) \cos^{-1}\left(\frac{5}{13}\right) . What is the sum of the perimeter of both right triangles?

The domain of the inverse trigonometric function sin1 \sin^{-1} is [a,b]. [ -a, b ]. What is the value of a+b? a + b?

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