Find the exact value of the real number y. y = csc^-1(1)

Solution:

Given y = csc^-1(1)

The cosecant function is defined as the ratio of the hypotenuse (in a right-angled triangle) to the side opposite an acute angle;

We know that cosecant is the reciprocal of sine.

y = 1/sin^-1(1)

We know that sin 90° = 1

Thus sin^-1(1) = 90°

y = 1/90°

y = 0.011

The real number y is 0.011

Find the exact value of the real number y. y = csc^-1(1)

Summary:

The exact value of the real number y when y = csc^-1(1) is 0.011