Assume that is an acute angle in a right triangle satisfyin

Assume that ? is an acute angle in a right triangle satisfying the given condition. Evaluate the remaining trigonometric functions.

Find:

Cos:

Tan:

Sec:

Cot:

csc theta= 22/ 9

and sin theta=1/csc theta

sin theta= 9/22

so opposite= 9 and hypotenuse=22

therefore adjacent =sqrt(22^2 - 9^2)= sqrt 403

cos theta= adjacent/hypotenuse= sqrt 403/22

tan theta= opposite/adjacent= 9/sqrt403=9sqrt403/403

sec theta= 1/cos theta=22/sqrt403=22sqrt403/403

cot theta=1/tan theta= sqrt403/9