Free Printable Right Triangle Trigonometry

1.

What is the ratio for Sine?

a)

Opposite Leg / Adjacent Leg

b)

Opposite Leg / Hypotenuse

c)

Adjacent Leg / Hypotenuse

d)

Adjacent Leg / Opposite Leg

2.

What is the ratio for Tangent?

a)

Adjacent Leg / Opposite Leg

b)

Adjacent Leg / Hypotenuse

c)

Opposite Leg / Hypotenuse

d)

Opposite Leg / Adjacent Leg

3.

What is the ratio for Cosine?

a)

Opposite Leg / Adjacent Leg

b)

Opposite Leg / Hypotenuse

c)

Adjacent Leg / Hypotenuse

d)

Hypotenuse / Adjacent Leg

4.

In Right Triangle ABC with right angle C. If the
Cos A = 3/5, what is the Sin B?

a)

4/5

b)

5/3

c)

3/5

d)

4/3

5.

What is the value of "x" in the diagram below?

a)

2.5

b)

5

c)

5√3

d)

10

6.

What is the value of "y" in the diagram below?

a)

2.5

b)

5

c)

5√3

d)

10

7.

Determine the value of: sin(C)

a)

7 / 25

b)

24 / 25

c)

25 / 7

d)

24 / 7

8.

Determine the value of: tan(C)

a)

7 / 25

b)

24 / 25

c)

25 / 7

d)

24 / 7

9.

What is the most efficient way to find "y"?

a)

Inverse sine

b)

Inverse cosine

c)

Inverse tangent

d)

Pythagorean Theorem

10.

How would you find "x" in this Special Right Triangle?

a)

Divide 10 by 2.

b)

Multiply 10 by 2.

c)

Multiply 10 by √3

d)

Divide 10 by √3

11.

In a Right Triangle $\sin x=\frac{2}{3}$ .Then find $\cos x$ .

a)

$\frac{1}{3}$

b)

$-\frac{1}{3}$

c)

$\frac{\sqrt{5}}{3}$

d)

$-\frac{\sqrt{5}}{3}$

12.

In a Right Triangle $\cos x=\frac{1}{4}$ then find $\tan x$ .

a)

$\frac{3}{4}$

b)

$\frac{1}{\sqrt{15}}$

c)

$\frac{4}{\sqrt{15}}$

d)

$\sqrt{15}$

13.

In a right triangle $\tan x=3$ then find $\sin x$ .

a)

$\frac{1}{2}$

b)

$\frac{3}{\sqrt{10}}$

c)

$\frac{\sqrt{8}}{3}$

d)

$\sqrt{10}$

14.

In a right triangle $ABC$ ; $m\left(\angle B\right)=90\degree$ , $\cos\left(\angle A\right)=\frac{1}{3}$ and $\left|AC\right|=6cm$ . Then find $\left|BC\right|$ .

a)

$4\sqrt{2}$

b)

$2\sqrt{2}$

c)

3

d)

2

15.

a)

3

b)

$\sqrt{3}$

c)

$\frac{1}{\sqrt{3}}$

d)

1

16.

a)

$\frac{3}{4}$

b)

$\frac{5}{4}$

c)

$\frac{3}{5}$

d)

$\frac{5}{3}$

17.

a)

$\frac{1}{2}$

b)

$\frac{2}{\sqrt{5}}$

c)

$\frac{1}{\sqrt{5}}$

d)

2

18.

a)

$\frac{1}{3}$

b)

$\frac{1}{\sqrt{10}}$

c)

$\frac{3}{\sqrt{10}}$

d)

$\frac{1}{6}$

Right Triangle Trigonometry

Total questions: 18

Worksheet time: 2hrs 30mins

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