Degrees ⇔ Radians

Remember!

The small c in the expression 1.4c means radians. When you want to change from degrees to radians, or the reverse, you must have the calculator set on the measure you are changing into. The button pressing sequence for degrees ⇔ radians and changing degrees into degrees and minutes is on page 11.

Note! The only times when the degrees or radians setting is relevant is when you are converting between degrees and radians or when you are going to press one of the j kor lbuttons.

1Express π radians in degrees.

4

2Convert 300 into radians, correct to 3 decimal places.

3Express π radians in degrees.

5

4Convert 550 30' into radians. Express your answer correct to 3 decimal places.

5Express 1.8c in degrees, correct to the nearest minute.

6Determine the following values correct to 3 decimal places.

A tan1.6c B cos1.2c C sin540 28'

7 Determine the value of 12 r2θ when r = 6.4 andθ = 1.9c .

8Evaluate 12 r2 (θ − sinθ ) when r = 11.7 and θ = 0.8c . Express your answer correct to 2 decimal places.

9Solve the equations for θ , 0 ≤ θ ≤ π . Express each answer correct to 3 decimal

 

places.

 

2

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

A sinθ = 0.4

B cosθ = 0.128

C tanθ = 1.7

 

 

 

10

Determine the value of θ , 0 < θ < π

for cosθ =

52+6.22−102

. Express your answer

 

correct to 3 decimal places.

 

 

 

2×5×6.2

 

 

 

 

 

 

 

 

 

 

 

 

11

 

 

π

 

 

 

 

9sin0.7c

Calculate the value of α , 0 < α <

 

 

, in the equation sinα =

 

. Express

 

 

10

2

 

 

 

 

 

 

 

 

 

 

your answer correct to 4 decimal places.

12Determine the positive solution for p in the equation

 

p2

= 4.82 + 7.32 − 2×

4.8× 7.3× cos1.9c . Answer correct to 1 decimal place.

Answers

 

 

 

 

1

450 2 0.524c

3 360 4

0.969c 5 1030 8' 6A −34.233

B 0.362 C 0.814

7

38.912

8 5.66

9A 0.412c B 1.442c C 1.039c 10 2.20c

11 0.6185c 12 9.9

© Sue Thomson and Shriro Australia PTY Limited. This page may be photocopied for classroom use.

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Image 28
Casio FX-82AU PLUS manual Degrees ⇔ Radians, Express your answer, Correct to 3 decimal places, 9sin0.7 c
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