(1/1+sintheta)=sec^2theta-secthetat antheta pls help me verify this

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.

3030 ur welcome

step-by-step explanation:

im pretty sure its

(8,15)

step-by-step explanation: