Explain why domain restrictions for inverse trigonometric functions are necessary

ANSWER

The domain of the trigonometric functions must be restricted in order to become invertible.

EXPLANATION

Trigonometric functions are periodic functions.

This functions are not invertible over the entire domain of the real numbers because they fail the horizontal line test.

However if we restrict the domain of trigonometric functions, they will now pass the horizontal line test and hence become invertible.

what do u need to know

step-by-step explanation:

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.