Answer:
If solving for X. (didn't know if you were solving for X or Y.
x=2y-12
x=5y-15
Step-by-step explanation:
x-2y=-12
+2y on both sides
x=2y-12
x-5y=-15
+5y on both sides
x=5y-15
Hope you are able to understand the solution. :-D
Answer:
See Below.
Step-by-step explanation:
We want to verify the equation:

To start, we can multiply the fraction by (1 - sin(θ)). This yields:

Simplify. The denominator uses the difference of two squares pattern:

Recall that sin²(θ) + cos²(θ) = 1. Hence, cos²(θ) = 1 - sin²(θ). Substitute:

Split into two separate fractions:

Rewrite the two fractions:

By definition, 1 / cos(θ) = sec(θ) and sin(θ)/cos(θ) = tan(θ). Hence:

Hence verified.