Question

Find sin0, csc0 and cot0 where 0 is the angle shown in the figure. Give exact values, not decimal approximations? Thank you in advance.

Answer 1

sinθ = 125/356

cscθ = 356/128

cotθ = 8/3

Explanation:

First, we must find the hypotenuse

8² + 3² = c²

64 + 9 = c²

73 = c²

Square root both sides

√73 = √c²

c = 8.544

Let's find sinθ

sinθ = opposite/hypotenuse = 3/8.544 = 125/356

cscθ is sinθ but flipped, so it is 8.544 = 356/128

cotθ is tanθ but also flipped, so it is 8/3