# Lesson Worksheet: Trigonometric Ratios in Right Triangles Mathematics • 10th Grade

In this worksheet, we will practice finding and express the values of the three trigonometric ratios—sine, cosine, and tangent—for a given angle in a right triangle.

Q1:

Find the main trigonometric ratios of given that is a right triangle at , where and .

• A, ,
• B, ,
• C, ,
• D, ,

Q2:

Find given that is a right triangle at , where and . • A
• B
• C
• D

Q3:

Find the value of , given that , , , and . • A
• B
• C
• D

Q4:

Find the main trigonometric ratios of , given that is a right triangle at , where the ratio between and is .

• A, ,
• B, ,
• C, ,
• D, ,

Q5:

Find and , given that is a right triangle at , where .

• A,
• B,
• C,
• D,

Q6:

is an isosceles triangle where and . Find the value of given that is the midpoint of .

• A
• B
• C
• D

Q7:

Find the value of given that is a right triangle at , where and .

• A
• B
• C
• D

Q8:

is a diameter of a circle with radius 62.5 cm. Point is on the circumference of the circle where and . Find the exact values of and . • A and
• B and
• C and
• D and

Q9:

Find the main trigonometric ratios of given that is a right triangle at , where .

• A, ,
• B, ,
• C, ,
• D, ,

Q10:

Find , given that is an isosceles trapezoid, where , , , and . 