Find sin theta squareroot 583 squareroot 582 squareroot 588

Find sin theta. squareroot 58/3 squareroot 58/2 squareroot 58/8 3 squareroot 58/58

Solution

sin theta = perpendicular / hypotenuse

applying pythagoras theorem to find hypotenuse

hypotenuse = sqrt ( 3^2 + 7^2 )

hypotenuse = sqrt ( 58 )

therefore sin theta = 3 / sqrt 58

rationalizing the denominator

3 sqrt 58 / 58 ( option d)