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Printable math worksheet for calculating trigonometric ratios using given points on the terminal side of an angle.

Worksheet titled "Six Trigonometric Ratios" with four problems, each providing a point on the terminal side of an angle in standard position to find the exact values of six trigonometric ratios (sine, cosine, tangent, cosecant, secant, cotangent).

Worksheet titled "Six Trigonometric Ratios" with four problems, each providing a point on the terminal side of an angle in standard position to find the exact values of six trigonometric ratios (sine, cosine, tangent, cosecant, secant, cotangent).

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Show Answer Key & Explanations Step-by-step solution for: Find the values of the six trigonometric functions using Unit ...
1) (-8, 15)
sin θ = 15/17
cos θ = -8/17
tan θ = -15/8
cosec θ = 17/15
sec θ = -17/8
cot θ = -8/15

2) (2, 1)
sin θ = 1/√5
cos θ = 2/√5
tan θ = 1/2
cosec θ = √5
sec θ = √5/2
cot θ = 2

3) (12, -9)
sin θ = -9/15 = -3/5
cos θ = 12/15 = 4/5
tan θ = -9/12 = -3/4
cosec θ = -5/3
sec θ = 5/4
cot θ = -4/3

4) (-14, -48)
sin θ = -48/50 = -24/25
cos θ = -14/50 = -7/25
tan θ = (-48)/(-14) = 24/7
cosec θ = -25/24
sec θ = -25/7
cot θ = 7/24
Parent Tip: Review the logic above to help your child master the concept of trigonometric functions worksheet.
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