Question

Write the correct ratio for each trig function. Be sure to simplify your fractions.

sin x =??

cos x =??

tan x =??

These are the options for all three: 5/13, 12/5, 12/13, 5/12, 13/5, 13/12.

Answer 1

Given :-

In this triangle,

• Base ( B ) = 15

• Hypothenuse ( H ) = 39

• Perpendicular ( P ) = 36

Find :-

sin x = ?

cos x = ?

tan x = ?

Solution :-

sin x = Perpendicular / Hypothenuse

= 36 / 39 = 12 /13

cos x = Base / Hypothenuse

= 15 / 39 = 5/13

tan x = Perpendicular / Base

= 36 /15 = 12 / 5

Answer 2

• sin x = 36/39 = 12/13
• cos x =15/39 = 5/13
• tan x = 36/15 = 12/5