Free Printable Unit 6 Basics of Trigonometry

Worksheets

Unit 6 Basics of Trigonometry

Total questions: 35

Worksheet time: 1hrs 23mins

Name

Class

Date

We use the Unit Circle to construct the sine and the cosine functions. The unit circle is called like this because:

It is only one circle

The area of the circle is equal to one

Because its radius is equal to one

Because its circumference is equal to one

In quadrant III (three):

sinx < 0 ; cos x > 0; tan <0

sinx > 0 ; cos x > 0; tan >0

sinx < 0 ; cos x < 0; tan >0

sinx > 0 ; cos x < 0; tan <0

What is the ratio for Sine?

Hyp/Opp

Opp/Hyp

Opp/Adj

Adj/Opp

What is the ratio for Tangent

Opp/Adj

Adj/Opp

Opp/Hyp

Hyp/Opp

What is the ratio for Cosine?

Opp/Hyp

Opp/Adj

Adj/Opp

Adj/Hyp

Which is the correct ratio for cosC ?

9/41

40/41

9/40

40/9

What is the correct ratio?

7/24

24/7

7/25

24/25

What is the correct ratio?

20/12

12/20

12/16

16/12

We can use SOH-CAH-TOA for...

Any triangle ever

Non-right triangles only

Right Triangles only

Never

10.

The ratio in a right triangle of adjacent to hypotenuse is _____

sine

cosine

tangent

inverse cosine

11.

What is the formula for Sine?

Sin θ = ^opposite/_adjacent

Sin θ = ^opposite/_hypotenuse

Sin θ = ^adjacent/_opposite

Sin θ = ^adjacent/_hypotenuse

12.

What is the formula for Cosine

Cos θ = ^opposite/_adjacent

Cos θ =^opposite/_hypotenuse

Cos θ = ^adjacent/_opposite

Cos θ = ^adjacent/_hypotenuse

13.

What is the formula for Tangent

tan θ = ^opposite/_adjacent

tan θ = ^opposite/_hypotenuse

tan θ = ^adjacent/_opposite

tan θ = ^adjacent/_hypotenuse

14.

What is the equation you would set up for tan
∠A?

tan∠A = ⁶/₈

tan∠A = ⁸/₆

tan∠A = ⁶/₁₀

tan∠A = ⁸/₁₀

15.

What is the equation you would set up for the following triangle to solve for x?

sin 45 = ⁸/_x

sin 45 = ^x/₈

cos 45 = ⁸/_x

cos 45 = ^x/₈

16.

What is the equation you would set up for the following triangle to solve for x?

sin 64 = ^x/₂₅

sin 64 = ²⁵/_x

cos 64 = ^x/₂₅

tan 64 = ²⁵/_x

17.

tan A = ?

27/36

36/27

27/45

36/45

18.

Solve for x.

24.20

4.92

290.4

29.75

19.

Solve for the missing angle

32°

44°

61°

50°

20.

What is 7π/4 radians in degrees?

300

135

315

21.

Convert 100⁰ to radians

5π/9

π/2

5π/8

5π/6

22.

Convert 210^o to Radians

7π / 6

21π / 10

5π / 6

9π / 4

23.

Convert 270^o into radians

π/ 4

3π/ 2

3π/ 4

π/ 2

24.

Convert 4π/ 3 radians in degrees

120

240

210

270

25.

Convert 7π/ 6 radians into degrees

225

210

270

240

26.

-1

√2/2

27.

What is the radius of a unit circle?

1/2

28.

What is cos 90°?

undefined

29.

cos(π)=

-1

1/2

30.

What is sin 90°?

undefined

31.

sin (π/2)

√3/2

√2/2

1/2

32.

A ____ angle is an angle whose vertex is a the center of a circle.

supplementary

complimentary

central

obtuse

33.

Find the length of the arc to the hundredths place

32.11cm

16.05cm

780.84cm

32.99cm

34.

In circle O, the radius is 4, and the length of minor arc AB is 4.2 feet. Find the measure of minor arc AB to the nearest degree.

113

35.

In quadrant II (two):

sinx < 0 ; cos x > 0; tan <0

sinx > 0 ; cos x > 0; tan >0

sinx < 0 ; cos x < 0; tan >0

sinx > 0 ; cos x < 0; tan <0

100 %

Unit 6 Basics of Trigonometry

Total questions: 35

Worksheet time: 1hrs 23mins

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