# Right Triangle Trigonometry Worksheet

📆 4 May 2023

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Right Triangle Trigonometry Worksheet are some of the most common pre-calculus problems that students encounter. This document provides a set of worksheets that can be used to help students understand the concepts of right triangles. The worksheets include problems thatrequire the use of trigonometric functions, as well as problems involving the cosine and sine curves.

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### Find the value of sin θ, given that θ is an acute angle in a right triangle with opposite side length of 3 and hypotenuse length of 5.

sin θ = 3/5

### Find the value of cos θ, given that θ is an acute angle in a right triangle with adjacent side length of 4 and hypotenuse length of 5.

cos θ = 4/5

### Find the value of tan θ, given that θ is an acute angle in a right triangle with opposite side length of 3 and adjacent side length of 4.

tan θ = 3/4

### Find the value of csc θ, given that θ is an acute angle in a right triangle with opposite side length of 5 and hypotenuse length of 13.

csc θ = 13/5

### Find the value of sec θ, given that θ is an acute angle in a right triangle with adjacent side length of 12 and hypotenuse length of 13.

sec θ = 13/12

### Find the value of cot θ, given that θ is an acute angle in a right triangle with adjacent side length of 5 and opposite side length of 12.

cot θ = 5/12

### Find the length of the opposite side, given that θ is an acute angle in a right triangle with adjacent side length of 8 and hypotenuse length of 17.

The length of the opposite side is 15.

### Find the length of the adjacent side, given that θ is an acute angle in a right triangle with opposite side length of 9 and hypotenuse length of 15.

The length of the adjacent side is 12.

### Find the length of the hypotenuse, given that θ is an acute angle in a right triangle with opposite side length of 6 and adjacent side length of 8.

The length of the hypotenuse is 10.

### Find the value of θ, given that θ is an acute angle in a right triangle with opposite side length of 7 and hypotenuse length of 25.

θ = sinā»¹(7/25) ≈ 16.26°

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