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Verify the Pythagorean Identity1 + cot^2θ = csc^2θ (see image)

Verify the Pythagorean Identity1 + cot^2θ = csc^2θ (see image)-example-1
User James Greig
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2.6k points

1 Answer

12 votes
12 votes

Answer

Step-by-step explanation: To solve this question let's keep in mind some trigonometric relations presented below

Step 1: Now let's use a basic trigonometric identity as sown below

Step 2: Now let's consider the trigonometric relations we presented at the beginning

Step 3: Now we are able to substitute and verify our trigonometric identity as follows

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Verify the Pythagorean Identity1 + cot^2θ = csc^2θ (see image)-example-1
Verify the Pythagorean Identity1 + cot^2θ = csc^2θ (see image)-example-2
Verify the Pythagorean Identity1 + cot^2θ = csc^2θ (see image)-example-3
Verify the Pythagorean Identity1 + cot^2θ = csc^2θ (see image)-example-4
User Paul Ratazzi
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2.9k points