Question

Suppose ABC is a right triangle with sides of lengths​ a, b, and c and right angle at C. Find the unknown side length using the Pythagorean​ theorem, and then find the values of the six trigonometric functions for angle B. Rationalize denominators when applicable. b=4, c=7

Answer 1

Side a^2 = 49 + 16

Side a^2 = 65

Side a = 8.062

sin (B) = 4 / 8.062

cos (B) = 7 / 8.062

tan (B) = 4 / 7

cot (B) = 7 / 4

sec (B) = 8.062 / 7

csc (B) = 8.062 / 4

Explanation: