Which of the following statements are true for any triangle? Choose all that apply. (Hint: Create a right triangle and make up three side lengths. Use ratios made from this triangle to complete the problem below).

Question

a. tan x = sin x / cos x

b. tan x = cos x / sin x=

c. sin x = cos x * tan x

d. cos x = sin x * tan x

e. cos x = sin x / tan x

Answer 1

a. tan x = sin x / cos x is true for any triangle.
c. sin x = cos x * tan x is also true for any triangle.

b. tan x = cos x / sin x, d. cos x = sin x * tan x, and e. cos x = sin x / tan x are not true for all triangles. These ratios have specific restrictions based on the angles and side lengths of the triangle.