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9 Verify each of the following trigonometric identities: cos - 1 cose + 1 (a) sec 0 + tan 0 sec - tan (b) sin³ - cos³ 0 = (sin + (c) cosec ²0 - cosec = - = 2(1+tan 0) cos 0) (1 + sin cos 0) cot²0 1 + sin 0

9 Verify each of the following trigonometric identities: cos - 1 cose + 1 (a) sec 0 + tan 0 sec - tan (b) sin³ - cos³ 0 = (sin + (c) cosec ²0 - cosec = - = 2(1+tan 0) cos 0) (1 + sin cos 0) cot²0 1 + sin 0

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 70E
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PERSONAL TUTOR 9 Verify each of the following trigonometric identities: COSA 1 (a) cose + 1 sec - tan 0 sec 0 + tan 0 (b) sin³ - cos³ = (sin - cos 0) (1 + sin cot²0 1 + sin 0 - (c) cosec ²0 - cosec = (e) + (d) cot cos + tan cos + sin f 2 tan 0 cos - sin 1 - tan 0 (f) (sin 0 − cos 0)² + (sin 0 + cos 0)² = 2 1+tan²0 1 + cot²0 sin =1+ = 2(1 + tan 0) = tan 0 cos 6) = (cosec + sec )(1 - sin cos)
Transcribed Image Text:PERSONAL TUTOR 9 Verify each of the following trigonometric identities: COSA 1 (a) cose + 1 sec - tan 0 sec 0 + tan 0 (b) sin³ - cos³ = (sin - cos 0) (1 + sin cot²0 1 + sin 0 - (c) cosec ²0 - cosec = (e) + (d) cot cos + tan cos + sin f 2 tan 0 cos - sin 1 - tan 0 (f) (sin 0 − cos 0)² + (sin 0 + cos 0)² = 2 1+tan²0 1 + cot²0 sin =1+ = 2(1 + tan 0) = tan 0 cos 6) = (cosec + sec )(1 - sin cos)
PERSHT 9 Verify each of the following trigonometric identities: (cos - sin 0)² (a) Cos cosec 0 sec 0 cot 2 sin cos = sin(0 + 6) + sin(0) — 6) (b) (c) 10 Show that: (a) sin 75° = = sec 0 - 2 sin (b) tan 15" = = 1 + tan²0 1+√3 2√2 √3-1 √3+1 31 to 40 38 to 39
Transcribed Image Text:PERSHT 9 Verify each of the following trigonometric identities: (cos - sin 0)² (a) Cos cosec 0 sec 0 cot 2 sin cos = sin(0 + 6) + sin(0) — 6) (b) (c) 10 Show that: (a) sin 75° = = sec 0 - 2 sin (b) tan 15" = = 1 + tan²0 1+√3 2√2 √3-1 √3+1 31 to 40 38 to 39
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