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