TRIGONOMETRY
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» For Right Triangle ∆EFG, find:
#1 ; m∠G
- sin θ = opposite/hypothenuse
- sin G = 5/9
- G = sin^(-1) (5/9)
- G = 33.75°
ANSWER: m∠G = 33.75°
[tex] \: [/tex]
#2 ; m∠E
- cos θ = adjacent/hypothenuse
- cos E = 5/9
- E = cos^(-1) (5/9)
- E = 56.25°
ANSWER: m∠E = 56.25°
[tex] \: [/tex]
#3 ; length of G'F
- (EF)² + (G'F)² = (EG)²
- 5² + (G'F)² = 9²
- 25 + (G'F)² = 81
- (G'F)² = 81 - 25
- (G'F)² = 56
- G'F = 7.48
ANSWER: G'F = 7.48
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» For right triangle ∆BCD, find:
#4 ; m∠B
- sin θ = opposite/hypothenuse
- sin B = 11/18
- B = sin^(-1) (11/18)
- B = 37.67°
ANSWER: m∠B = 37.67°
[tex] \: [/tex]
#5 ; m∠D
- cos θ = adjacent/hypothenuse
- cos D = 11/18
- D = cos^(-1) (11/18)
- D = 52.33°
ANSWER: m∠D = 52.33°
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