Suppose x 6 tantheta and the angle theta is in the first qu

Suppose x - 6 tan(theta) and the angle theta is in the first quadrant. Write algebraic expressions for sin(theta) and cos(theta) in terms of x. sin(theta) - help (formulas) cos(theta) = help (formulas)

Solution

given x =6tan

tan =x/6

opposite side =x , adjacent side =6

by pythogorus theorem

hypotenuse² =x² +6²

hypotenuse² =x² +36

hypotenuse=(x² +36)

a)sin=oppositeside/hypotenuse

sin=x/(x² +36)

b)cos=adjacentside/hypotenuse

cos=6/(x² +36)