Find the exact value of each of the remaining trigonometric

Find the exact value of each of the remaining trigonometric functions of theta. Rationalize denominators when applicable. Sin theta = Squareroot 3/5 given that theta is in quadrant 1 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. cos theta = __ (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) The function is undefined.

Solution

sintheta = sqrt3/5 ; theta is in quadrant I, so all trig. ratios would be +ve

costheta = sqrt[ 1- sin^2theta]

= sqrt[ 1 - (sqrt3/5)^2]

= sqrt[(25-3)/25]

= sqrt(22)/5