Trigonometric ratios find an angle measure calculator

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7 Trigonometric ratios on your calculator
Activity 16 Trigonometric ratios on your calculator
How do you convert trigonometric ratios to angles?

Angle and hypotenuse of right triangle

[1-10] /63

Disp-Num

[1] 2022/08/06 06:10 50 years old level / Others / Very /

Purpose of useDetermine rise and run of a stair. In order to fabricate railings for same.

[2] 2022/04/21 17:50 Under 20 years old / High-school/ University/ Grad student / Very /

Purpose of useMeasure distance in a grid map

[3] 2022/01/08 03:05 60 years old level or over / A retired person / Very /

Purpose of useTo determine what angle to drill a hole for a drain pipe.

[4] 2021/10/30 23:52 40 years old level / An office worker / A public employee / Very /

Purpose of useUsed to determine angle and length of support between joists.

[5] 2021/07/10 13:20 60 years old level or over / A retired person / Very /

Purpose of useTo assess accuracy of shooter/rifle by working out max angle of firing line using range length and group widthComment/RequestGreat tool to have at rifle range!

[6] 2021/06/04 16:56 Under 20 years old / High-school/ University/ Grad student / Very /

Purpose of usecalculating firing angle/azimuth for an artillery piece

[7] 2021/05/28 23:11 60 years old level or over / An office worker / A public employee / Useful /

Purpose of useSquaring a large garden plot/fence

[8] 2020/12/30 04:12 Under 20 years old / An engineer / Very /

Purpose of useto use in civil engg on site work
Comment/Requesti wnt to find sque angle in head regulator in irrigation

[9] 2020/10/14 08:58 30 years old level / High-school/ University/ Grad student / Useful /

Purpose of useFigure out Iphone 8 Plus screen width as I'm using it to measure the width of a piece of floss that I used to measure my girlfriends ring finger without a ruler so I can buy an engagement ring.

[10] 2020/09/11 09:57 50 years old level / Others / Very /

Purpose of useTo work out the angle of the roof of a garden building.

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7 Trigonometric ratios on your calculator

There are various different units in which an angle can be measured, degrees being one of the possibilities. Before using your calculator to find the values of the trigonometric ratios of angles measured in degrees, you need to ensure that it is set to use the correct units.

Always check that your calculator is using the correct system of angle measurement before using trigonometric ratios.

Your calculator is set to use degrees if the display indicator

is shown at the top of the screen. If you see the indicator

or

, then your calculator is set to use different units for measuring angles.

Figure 9 The degrees setting

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The top row of the screen contains the letter D (white text on black) in the centre, and the word ‘math’ towards the right end.

Figure 9 The degrees setting

To set your calculator to work in degrees, use the key sequence

(SETUP)

(Deg).

To calculate the sine, cosine or tangent of an angle, press the

,

or

key and then type in the size of the angle. Note that the

,

and

keys automatically open a bracket for you. If you are simply calculating the sine, cosine or tangent of an angle, just press

after entering the angle – there is no need to close the bracket. If you are using these ratios as part of a larger calculation, then you will need to remember to close the bracket yourself (by pressing

) before entering the remainder of the calculation.

Activity 16 Trigonometric ratios on your calculator

You will notice from the answer to part (3) that the calculator displays the ratios of some angles as fractions, involving surds where needed, and not in decimal form.