corrineikerd
28.04.2021 •
Mathematics
What is the identity of (sec^2theta-1)/sintheta = sintheta/(1-sin^2theta) Please get this done and match the sides. Thank you!
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Ответ:
See Below.
Step-by-step explanation:
We want to prove the trigonometric identity:
To start, let's simplify the right side. Recall the Pythagorean Identity:
Therefore:
Substitute:
Split:
Therefore, our equation becomes:
From the Pythagorean Identity, we can divide both sides by cos²(θ). This yields:
So:
Substitute:
Rewrite:
Recall that tan(θ) = sin(θ)/cos(θ). So:
Simplify:
Simplify:
Hence proven.
Ответ: