Use the figure to evaluate the function given that hxtan x h

Use the figure to evaluate the function given that h(x)-tan x h(20) (a,5) xy\' 26 h(20)-Simplity your answer.) Enter your answer in the answer box.

Solution

h(x)=tan x

h(2theta) = tan(2theta) = 2tan theta/(1-tan²theta)

tan theta = y/x

at y=5

x²+25=26

x²=1

x=-1

tan theta =5/(-1)=-5

tan(2theta) = 2(-5)/(1-5²) = -10/-24 = 5/12

therefore h (2theta) = 5/12