# Worksheet: Finding Values for Trigonometric Functions in Right Triangles

Q1:

In the triangle shown, would we call the side labelled the hypotenuse, the adjacent side to angle , or the side opposite angle ?

• Bopposite angle
• Chypotenuse

Q2:

In the triangle shown, is the side labelled adjacent to angle , opposite angle , or the hypotenuse?

• Ahypotenuse
• Bopposite

Q3:

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

• A
• B
• C
• D
• E

Q4:

Find , given is a right triangle at where and .

• A
• B
• C
• D

Q5:

Find , given is a right triangle at where and .

• A
• B
• C
• D

Q6:

What is the value of in the given triangle?

• A
• B
• C
• D
• E

Q7:

What is the value of in the given triangle?

• A
• B
• C
• D
• E

Q8:

What is the value of in the given triangle?

• A
• B
• C
• D
• E

Q9:

What is the value of in the given triangle?

• A
• B
• C
• D
• E

Q10:

What is the value of in the given triangle?

• A
• B
• C
• D
• E

Q11:

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

• A
• B
• C
• D
• E

Q12:

Consider the given right triangle. Find .

• A
• B
• C
• D
• E

Q13:

In the figure, which of the following words describe the position of the side labelled with respect to the angle ?

• Ahypotenuse
• Copposite

Q14:

Find the length of giving the answer to two decimal places.

Q15:

Find the length of giving the answer to two decimal places.

Q16:

Find the length of giving the answer to two decimal places.

Q17:

Find the measure of giving the answer to the nearest second.

• A
• B
• C
• D

Q18:

Find giving the answer to the nearest second.

• A
• B
• C
• D

Q19:

Find the main trigonometric ratios of given is a right-angled triangle at where and .

• A , ,
• B , ,
• C , ,
• D , ,

Q20:

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

• A
• B
• C
• D
• E

Q21:

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

• A
• B
• C
• D
• E

Q22:

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

• A , and
• B , and
• C , and
• D , and

Q23:

Find the values of and giving the answer to three decimal places.

• A ,
• B ,
• C ,
• D ,

Q24:

Find the value of .

• A
• B
• C
• D

Q25:

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

• A
• B
• C
• D