Solution
prove
Solution
Solution steps
Manipulating left side
Express with sin, cos
Use the basic trigonometric identity:
Use the basic trigonometric identity:
Simplify
Apply exponent rule:
Apply exponent rule:
Join
Convert element to fraction:
Since the denominators are equal, combine the fractions:
Multiply:
Join
Convert element to fraction:
Since the denominators are equal, combine the fractions:
Multiply:
Divide fractions:
Cancel the common factor:
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
Popular Examples
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Frequently Asked Questions (FAQ)
Is (1-tan^2(θ))/(cot^2(θ)-1)=tan^2(θ) ?
The answer to whether (1-tan^2(θ))/(cot^2(θ)-1)=tan^2(θ) is True