Use your calculator to find the following trigonometric ratios - Junior Cycle Mathematics - Question 5 - 2013
Question 5
Use your calculator to find the following trigonometric ratios.
Write each answer correct to four decimal places.
sin 25° =
cos 39° =
tan 40° =
The angle P is... show full transcript
Worked Solution & Example Answer:Use your calculator to find the following trigonometric ratios - Junior Cycle Mathematics - Question 5 - 2013
Step 1
sin 25° =
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Answer
Using a calculator, we find:
sin(25°)≈0.4226
Step 2
cos 39° =
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Answer
Using a calculator, we find:
cos(39°)≈0.7771
Step 3
tan 40° =
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Answer
Using a calculator, we find:
tan(40°)≈0.8391
Step 4
On the diagram, clearly label the side opposite the angle P.
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Answer
The side opposite angle P is clearly labeled as the 'Opposite' side.
Step 5
On the diagram, clearly label the side adjacent to the angle P.
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The side adjacent to angle P is clearly labeled as the 'Adjacent' side.
Step 6
If the length of the opposite side is 9 and the length of the adjacent side is 12, find the length of the hypotenuse.
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Answer
To find the length of the hypotenuse (H), we can use the Pythagorean theorem:
H2=122+92=144+81=225
Taking the square root gives us:
H=225=15
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