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

Page 28

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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Contents Using the Casio fx-82AU Plus Scientific Calculator Publishing information Contents Getting started Comp calculations menusSetting the calculator to degrees or radians Set up informationSetting decimal places and scientific notation Fractions in the Line mode Fractions in the Math modeFractions and decimals Answers in different formsReciprocals Simplifying fractionsFractional indices Powers, math mode and brackets Negative, fractional indicesPowers and roots Determining powersUsing the M feature Determining rootsUsing inverse trig TrigonometryEntering trigonometric expressions Degrees, minutes and secondsChanging a decimal to degrees, minutes and seconds Changing radians into degrees or degrees into radiansRadians to degrees Degrees to radiansStatistics menu Turning frequency on or offExample StepContinuing with the example from the previous Mean Standard deviationUsing Ran# Random number functionRandom number formulas RanInt functionUsing the memories Using values stored in A, B, C, D, X or YIndependent memory M Storing values in A, B, C, D, X or YTips and hints Calculator is using a comma in place of a decimal point Trouble shootingAnswers to fractions calculations are improper fractions Calculator is frozen Answers 37545% 79% 245% 1000% 120.5% F 2 G075 025 F 205 J 93.75 $84 84.375 $140.25114 2536 Working with fractions11 8.55 Fix, scientific notation and norm Remember16 − Roots and exponents121 76 D 216 728 D 128 152 73 D 6 C 1.3 D 6A7 25 D383 Check your calculator settings Cosθ = Tanθ = Sinθ =Tanα = Sinα = Cosα = 28 0 D 51 0 E 66 0 F 49Statistics Button pressing sequence for statistics is on pages 12 toScores Frequency Scores Frequencies Answers+ π 12 − π × π × 4.3 + 8.1 × 12.7 + 3 + + 8.1 ÷Right hand screen has a value stored in the memory 116.18Degrees ⇔ Radians Express your answerCorrect to 3 decimal places 9sin0.7 c5A 2 B Logs, natural logs and e90×10−4 9 Australia and New Zealand joined the First World War1 GallipoliClass Frequency Want to know more? Waiting time investigation Playing dice simulation SimulationGame rules Subtracting dice BingoWhat you have to do

FX-82AU PLUS specifications

The Casio FX-82AU PLUS is a powerful scientific calculator designed specifically for students and professionals alike who require advanced mathematical functions and features. Renowned for its reliability and user-friendly interface, this calculator has become a staple in classrooms and workplaces around the globe.

One of the standout features of the Casio FX-82AU PLUS is its extensive range of functions. The calculator supports over 250 functions, making it capable of handling a variety of tasks in mathematics, physics, and engineering. These functions include everything from basic arithmetic operations to more complex calculations such as trigonometry, statistics, and calculus. This versatility makes it an ideal choice for high school students, university undergraduates, and professionals.

The FX-82AU PLUS boasts a natural textbook display, which allows users to view expressions and results in a format similar to how they appear in textbooks. This feature enhances understanding and reduces errors, making it easier for users to verify their calculations. The calculator also incorporates a two-line display, allowing users to see both the input and result simultaneously, fostering a seamless calculation experience.

Additionally, the Casio FX-82AU PLUS is equipped with a quick-function key for calculations, which streamlines the process of obtaining results. This feature, combined with its intuitive layout, enables users to operate the calculator efficiently, whether they are performing statistical analysis or solving complex equations.

Another impressive characteristic of the FX-82AU PLUS is its durability and long battery life. Designed with longevity in mind, it features robust construction that is well-suited for daily use, ensuring that it can withstand the rigors of classroom and fieldwork. The calculator is powered by a solar rechargeable battery combined with a backup battery, meaning users can rely on it in various lighting conditions, minimizing downtime during critical operations.

In terms of design, the Casio FX-82AU PLUS maintains a compact and lightweight profile, making it portable and convenient for students and professionals who are always on the go. Its ergonomic layout ensures comfort during prolonged use, allowing users to navigate through functions without unnecessary strain.

In summary, the Casio FX-82AU PLUS is more than just a calculator; it is a comprehensive tool that enhances mathematical learning and professional efficiency. Its wide range of functions, natural textbook display, and durable design set it apart as a preferred choice in the scientific calculator category, making it an essential tool for anyone engaged in mathematics or related fields.
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