Write the expression as a constant a single trigonometric fu

Write the expression as a constant, a single trigonometric function, or a power of a trigonometric function. tan^2csc^2

Solution

tan^2*csc^2

= tan^2 *(1/sin^2)

= ( sin^2/cos^2)*(1/sin^2)

= 1/cos^2

= sec^2 ( a single trigonometric function, or a power of a trigonometric function)