Reciprocal and Quotient Identities Pythagorean

Write a Pythagorean Identity.

Solve and show work.

What is the reciprocal function of sin(x)?

• sec(x)

• cos(x)

• cot(x)

• csc(x)

What is the reciprocal function of cos(x)?

• sin(x)

• cot(x)

• csc(x)

• sec(x)

What is the reciprocal function of tan(x)?

• cot(x)

• csc(x)

• sec(x)

• cos(x)

Fill in the blank:

cot(x) = cos(x) / _____

• sin(x)

• cos(x)

• tan(x)

• csc(x)

Given sin ⊖ = \frac{1}{2} and cos⊖ = \frac{\sqrt{3}}{2} , find the exact value for tan⊖ using quotient identities.

Given cos ⊖ =  $\frac{\sqrt{13}}{4}$ and tan⊖ < 0 , find the exact value for csc⊖ using the pythagorean identities. (Hint: Find sin first).