Use your calculator to find the value of each of the following - Junior Cycle Mathematics - Question 11 - 2015
Question 11
Use your calculator to find the value of each of the following.
Give each answer correct to two decimal places.
(i) sin 20° = _______ and cos 70° = _______
(ii)... show full transcript
Worked Solution & Example Answer:Use your calculator to find the value of each of the following - Junior Cycle Mathematics - Question 11 - 2015
Step 1
sin 20° =
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Answer
To find the value of ( \sin 20° ), use a scientific calculator to compute it. Thus, ( \sin 20° \approx 0.34 ) (to two decimal places).
Step 2
cos 70° =
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Answer
Using the calculator for ( \cos 70° ), we get ( \cos 70° \approx 0.34 ) (to two decimal places).
Step 3
sin 50° =
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Now, calculate ( \sin 50° ), which gives approximately ( \sin 50° \approx 0.77 ) (to two decimal places).
Step 4
cos 40° =
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Finally, for ( \cos 40° ), we find ( \cos 40° \approx 0.77 ) (to two decimal places).
Step 5
sin 10° = cos _____°
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Answer
We know that ( \sin (90° - x) = \cos x ). Thus, for ( \sin 10° = \cos (90° - 10°) = \cos 80° ). Therefore, the angle is 80°.
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