Free Printable Trigonometry Lesson 1

1.

In a right triangle, the three trigonometric (trig for short) ratios are: (select all that apply)

a)

sine (sin for short)

b)

cosine (cos for short)

c)

tangent (tan for short)

d)

logarithm (log for short)

2.

The (a) of an acute angle in a right triangle is equal to the opposite leg of the angle divided by the hypotenuse of the right triangle.

3.

Which trig ratio is equal to the adjacent leg of the angle divided by the hypotenuse?

a)

sin

b)

cos

c)

tan

4.

The reason right triangle trigonometry works is because of

a)

similarity

b)

congruence

c)

magic

d)

the triangle angle sum theorem

5.

Remember that the 45-45-90 special right triangle is isosceles (the two legs are congruent) and the hypotenuse will be equal the length of one of the legs multiplied by the square root of two. $leg=\ x,\ leg\ =\ x,\ hyp\ =\ x\sqrt{2}$

Using this information, what is the tangent of 45 degrees?

a)

$\frac{1}{\sqrt{2}}$

b)

$1$

c)

$\sqrt{2}$

d)

not enough information

6.

Recall the 30-60-90 right triangle characteristics. Based on that, what is the sine of 30 degrees?

a)

0.5

b)

1

c)

0.866

d)

0.577

e)

1.732

7.

True or false: The tangent is the only trig ratio that can equal a number greater than 1.

a)

True

b)

False

8.

True or false: For any acute angles $\theta$ and $\beta$ in the same right triangle, $\sin\theta=\cos\beta$ .

a)

True

b)

False

9.

Which of the following are TRUE? Select all that apply. (opp means opposite, adj means adjacent, and hyp means hypotenuse; $\theta$ is a variable representing any unknown angle).

a)

$\sin\theta=\frac{opp\ leg}{hyp}$

b)

$\cos\theta=\frac{adj\ leg}{hyp}$

c)

$\tan\theta=\frac{opp\ leg}{adj\ leg}$

d)

$\tan\theta=\frac{adj\ leg}{opp\ leg}$

e)

$\cos\theta=\frac{opp\ leg}{hyp}$

10.

What is $\tan\left(C\right)$ ?

a)

$\frac{6}{8}$

b)

$\frac{8}{6}$

c)

$\frac{6}{10}$

d)

$\frac{8}{10}$

11.

What is $\sin\left(A\right)$ ?

a)

$\frac{8}{10}$

b)

$\frac{6}{10}$

c)

$\frac{6}{8}$

d)

$\frac{8}{6}$

12.

FILL IN THE BLANK:
The _______ ratio is $\frac{adjacent}{hypotenuse}$

a)

Sine

b)

Cosine

c)

Tangent

13.

What is the correct equation to solve for x?

a)

tan (45) = x/13

b)

cos (45) = x/13

c)

sin (45) = 13/x

d)

sin (45) = x/13

Trigonometry Lesson 1

Total questions: 13

Worksheet time: 11mins

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