Solution
prove
Solution
Solution steps
Manipulating right side
Express with sin, cos
Use the basic trigonometric identity:
Simplify
Apply exponent rule:
Apply rule
Convert element to fraction:
Since the denominators are equal, combine the fractions:
Multiply:
Rewrite using trig identities
Use the Pythagorean identity:
We showed that the two sides could take the same form
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Frequently Asked Questions (FAQ)
Is (sin^2(θ))/(cos^2(θ))=sec^2(θ)-1 ?
The answer to whether (sin^2(θ))/(cos^2(θ))=sec^2(θ)-1 is True