Question

Verifying a trigonometric identity Complete the proof of the identity by choosing the Rule that justifies each step. csc^2 x (1 - cos^2 x) = 1 To see a detailed description of a Rule, select the More Information Button to the right of the Rule. Statement Rule csc^2 x (1 - cos^2 x) = 1/sin^2 x (1 - cos^2 x) Rule ? = 1/sin^2 x sin^2 x Rule ? = 1 Rule ? Rule Algebra Reciprocal Quotient Pythagorean Odd/Even Explanation Check

          Verifying a trigonometric identity
Complete the proof of the identity by choosing the Rule that justifies each step.
csc^2 x (1 - cos^2 x) = 1
To see a detailed description of a Rule, select the More Information Button to the right of the Rule.
Statement Rule
csc^2 x (1 - cos^2 x)
= 1/sin^2 x (1 - cos^2 x) Rule ?
= 1/sin^2 x sin^2 x Rule ?
= 1 Rule ?
Rule
Algebra
Reciprocal
Quotient
Pythagorean
Odd/Even
Explanation
Check

Verifying a trigonometric identity
Complete the proof of the identity by choosing the Rule that justifies each step.
csc^2 x (1 - cos^2 x) = 1
To see a detailed description of a Rule, select the More Information Button to the right of the Rule.
Statement Rule
csc^2 x (1 - cos^2 x)
= 1/sin^2 x (1 - cos^2 x) Rule ?
= 1/sin^2 x sin^2 x Rule ?
= 1 Rule ?
Rule
Algebra
Reciprocal
Quotient
Pythagorean
Odd/Even
Explanation
Check

Added by Miriam L.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Teresa Fuston

12/28/2021

Step 1

Step 1: Change cos^2(X) to 1 - sin^2(X) using the reciprocal identity. Show more…

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Complete the proof of the identity by choosing the Rule that justifies each step. csc^2x(1 - cos^2x) = 1 To see a detailed description of a Rule, select the More Information Button to the right of the Rule. Rule Algebra Reciprocal Quotient Pythagorean Odd/Even Explanation Check