1. What is the value of x?
sin(x+22)°=cos(2x−7)°
Remember to show all of your work
2. Given cosx=1213cosx=1213 and sinx=513sinx=513 .
What is ratio for tanxtanx ?
leave answer as a fraction in simplest form
Remember to show all of your work
+128475 1. What is the value of x?
sin(x+22)°=cos(2x−7)°
Remember that the sine and cosine are co-functions
So.....sin (theta) = cos (90 - theta)
This implies that the angles sum to 90°
So
( x + 22) + (2x - 7) = 90 simplify
3x + 15 = 90 subtract 15 from both sides
3x = 75 divide both sides by 3
x = 25
2. Given cosx=12/13and sinx=5/13
What is ratio for tanx ?
tan x = sinx / cos x
tan x = (5/13) / (12/13) = (5/13) * (13/12) = 5/12
