Angle is x. sup - adds up to 180. comp adds up to 90
180-x = 3(90-x)+40
180-x = 270-3x+40
180-x = 310-3x
180+2x = 310
2x = 130
x=65
Answer:
TRUE
Step-by-step explanation:
tanθ = 1/cotθ
cotθ = 0 when θ = ±(1/2)π, ±(3/2)π, … ±[(2n+1)/2]π.
∴ tanθ is undefined when θ = ±[(2n+1)/2]π.
secθ = 1/cosθ
cosθ = 0 when θ = ±(1/2)π, ±(3/2)π, , …, ±[(2n+1)/2]π.
∴ secθ is undefined when θ = ±[(2n+1)/2]π.
The tangent and secant functions are undefined for the same values of θ.
Answer:
1.) 
2.)
3.)
4.) 
5.) 
6.) 
Step-by-step explanation:
Use the 30°-60°-90° formulas:
a.

b.

1.) Insert values for a:

Simplify:

Insert values for b:

Simplify:

2.) Insert values for a:

Simplify:

Insert values for b:

Simplify:

3.) Insert values for a:

Simplify:

Insert values for b:

Simplify:

4.)Insert values for a:

Simplify:

Insert values for b:

Simplify:

5.) Insert values for a:

Divide both sides by
and rationalize:

Flip:

Insert values for b:

Simplify:

6.) Insert values for a:

Divide both sides by
and rationalize:

Flip:

Insert values for b:

Simplify:

Finito.