thank you Suppose that angle ABC is a right triangle with an

thank you

Suppose that angle ABC is a right triangle with angle C = 90 degree. If AC = 1 and BC = 7/24, compute each quantity. (Enter your answers in exact form.) (a) sin B, cos A sin B = ___________ cos A = ___________ (b) sin A, cos B sin A = ________ cos B = ___________ (c) (tan A) (tan B) ___________

Solution

AB = sqrt ( 7/24^2 + 1^2 )

AB = sqrt ( 625 / 576) = 25 / 24

sin B = AC / AB = 1 / 25 / 24

sin B = 24 / 25

cos A = AC / AB = 1 / 25/24

cos A = 24/25

B) sin A = BC / AB = 7 / 24 / 25/24

sin A = 7 / 25

cos B = BC / AB

cos B = 7 / 25

c) tan A = 7/24 / 1 = 7/24

tan B = 1 / 7/24 = 24/7

tan A tan B = 1