Lesson: Trigonometric Ratios in Right Triangles

In this lesson, we will learn how to find the angles of a right triangle and their trigonometric functions using the ratios between the triangle’s side lengths.

Video

09:08

Sample Question Videos

  • 03:20
  • 03:17

Worksheet: Trigonometric Ratios in Right Triangles • 13 Questions • 2 Videos

Q1:

What is the value of c o s πœƒ in the given triangle?

Q2:

Find c o s 𝐴 , given 𝐴 𝐡 𝐢 is a right-angled triangle at 𝐢 where 𝐴 𝐡 = 1 0 c m and 𝐡 𝐢 = 6 c m .

Q3:

What is the value of c o s πœƒ in the given triangle?

Q4:

Find s i n 𝐡 , given 𝐴 𝐡 𝐢 is a right-angled triangle at 𝐢 where 𝐴 𝐡 = 1 7 c m and 𝐡 𝐢 = 1 5 c m .

Q5:

What is the value of s i n πœƒ in the given triangle?

Q6:

What is the value of s i n πœƒ in the given triangle?

Q7:

Find c o s 𝐡 , given 𝐴 𝐡 𝐢 is a right-angled triangle at 𝐢 where 𝐴 𝐡 = 1 7 c m and 𝐡 𝐢 = 1 5 c m .

Q8:

What is the value of t a n πœƒ in the given triangle?

Q9:

𝐴 𝐡 𝐢 is an isosceles triangle where 𝐴 𝐡 = 𝐴 𝐢 = 1 0 c m and 𝐡 𝐢 = 1 6 c m . Find the value of s i n 𝐢 𝐴 𝐷 given that 𝐷 is the midpoint of 𝐡 𝐢 .

Q10:

𝐴 𝐡 𝐢 is a triangle, where the ratio between its lengths π‘Ž , 𝑏 , and 𝑐 is 4 ∢ 3 ∢ 5 . Find s i n 𝐴 .

Q11:

Find the value of 2 𝐴 βˆ’ 1 s i n 2 given 𝐴 𝐡 𝐢 is a right-angled triangle at 𝐡 where 𝐡 𝐢 = 1 0 c m and 𝐴 𝐢 = 2 6 c m .

Q12:

Find the value of t a n s i n c o s 𝐢 𝐢 𝐢 given 𝐴 𝐡 𝐢 is a right-angled triangle at 𝐴 where t a n 𝐡 = 1 .

Q13:

Find c o s 𝐡 , given 𝐴 𝐡 𝐢 is a right-angled triangle at 𝐢 where 𝐴 𝐡 = 1 5 c m and 𝐡 𝐢 = 1 2 c m .

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