Use the Pythagorean identity sin2 theta cos2 theta 1 to fi

Use the Pythagorean identity sin^2 theta + cos^2 theta = 1 to find cos theta the angle theta is an acute angle. sin theta Squareroot 6/4 cos theta = (Simplify your answer Type an exact answer, using radicals as needed Use integers or tractions for any numbers in the expression Rationalize all denominators)

Solution

We have given sin(theta)=sqrt(6)/4

sin²(theta)=6/16

cos²(theta) =1-sin²(theta)=1-(6/16) =10/16

cos(theta)=(sqrt(10))/4