Verify the identity. (Simplify at each step.) Let 8 = sin X-2 tan(sin−¹(*²)) = √9+ (x - 2)² X-2 -¹ (* = ²) = sin(0) = * = ² - 3 tan(sin-¹(* = 2)) = tan( || 3 9- (x - 2)² 3 X-2 √9-(x - 2)²

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Fill in the blank, thanks. 5.2
Verify the identity. (Simplify at each step.)
Let = sin
X-2
tan(sin−¹(* = ²)) = √√9 - (x - 2)²
- 2
-¹(x - ²) = sin(0)
tan(sin-¹(x = 2)) =tan(
3
=
=
3
X-2
3
√9-(x - 2)²
3
X-2
√9-(x-2)²
Transcribed Image Text:Verify the identity. (Simplify at each step.) Let = sin X-2 tan(sin−¹(* = ²)) = √√9 - (x - 2)² - 2 -¹(x - ²) = sin(0) tan(sin-¹(x = 2)) =tan( 3 = = 3 X-2 3 √9-(x - 2)² 3 X-2 √9-(x-2)²
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