Explain how to use half-angle identities to find the exact value of sin 7.5⁰. To find the exact value of sin 7.5°, use two half-angle identities in succession. Using the first identity allows sin 7.5° to be rewritten as Rewrite the trigonometric expression within the radical using a second identity. Complete the rewrite below. Substitute the rewritten expression from the previous step into the radical expression from the first step. The result simplifies to sin 7.5° =
Explain how to use half-angle identities to find the exact value of sin 7.5⁰. To find the exact value of sin 7.5°, use two half-angle identities in succession. Using the first identity allows sin 7.5° to be rewritten as Rewrite the trigonometric expression within the radical using a second identity. Complete the rewrite below. Substitute the rewritten expression from the previous step into the radical expression from the first step. The result simplifies to sin 7.5° =
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 46E
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![Explain how to use half-angle identities to find the exact value of sin 7.5⁰.
To find the exact value of sin 7.5°, use two half-angle identities in succession. Using the first identity allows sin 7.5° to be rewritten as
Rewrite the trigonometric expression within the radical using a second identity. Complete the rewrite below.
Substitute the rewritten expression from the previous step into the radical expression from the first step. The result simplifies to sin 7.5° =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F448ea707-9061-4b3a-aeef-09fdf3796a6d%2Fe8cf1a19-d97d-4d8f-9d2f-ed90d662760d%2Fkpzmzih_processed.png&w=3840&q=75)
Transcribed Image Text:Explain how to use half-angle identities to find the exact value of sin 7.5⁰.
To find the exact value of sin 7.5°, use two half-angle identities in succession. Using the first identity allows sin 7.5° to be rewritten as
Rewrite the trigonometric expression within the radical using a second identity. Complete the rewrite below.
Substitute the rewritten expression from the previous step into the radical expression from the first step. The result simplifies to sin 7.5° =
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