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Worksheet on trigonometric functions in right triangles with example and homework problems.

Trigonometric functions in a right triangle worksheet with examples and homework problems, showing triangles with side lengths and angles labeled for calculating sine, cosine, tangent, cosecant, secant, and cotangent.

Trigonometric functions in a right triangle worksheet with examples and homework problems, showing triangles with side lengths and angles labeled for calculating sine, cosine, tangent, cosecant, secant, and cotangent.

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Show Answer Key & Explanations Step-by-step solution for: Solved EXAMPLES & HOMEWORK 1.2. TRIGONOMETRIC FUNCTIONS AND ...
- For the triangle with hypotenuse 10 and adjacent side 8:
- sinθ = 6/10 = 3/5
- cosθ = 8/10 = 4/5
- tanθ = 6/8 = 3/4
- cscθ = 10/6 = 5/3
- secθ = 10/8 = 5/4
- cotθ = 8/6 = 4/3

- For the triangle with hypotenuse 15 and opposite side 9:
- sinθ = 9/15 = 3/5
- cosθ = 12/15 = 4/5
- tanθ = 9/12 = 3/4
- cscθ = 15/9 = 5/3
- secθ = 15/12 = 5/4
- cotθ = 12/9 = 4/3

- For the triangle with hypotenuse 25 and opposite side 20:
- sinθ = 20/25 = 4/5
- cosθ = 15/25 = 3/5
- tanθ = 20/15 = 4/3
- cscθ = 25/20 = 5/4
- secθ = 25/15 = 5/3
- cotθ = 15/20 = 3/4

- For the triangle with opposite side 5 and adjacent side 12:
- sinθ = 5/13
- cosθ = 12/13
- tanθ = 5/12
- cscθ = 13/5
- secθ = 13/12
- cotθ = 12/5

- For the triangle with hypotenuse 39 and adjacent side 24:
- sinθ = 15/39 = 5/13
- cosθ = 24/39 = 8/13
- tanθ = 15/24 = 5/8
- cscθ = 39/15 = 13/5
- secθ = 39/24 = 13/8
- cotθ = 24/15 = 8/5
Parent Tip: Review the logic above to help your child master the concept of trigonometric functions worksheet.
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