Please answer this math question asap!!! 30 points and brainliest!! Only brainliest IF YOU SHOW YOUR WORK!! thank you! Round the final answer to the nearest tenth of a metre.
Before you start!!! Test your calculator to make sure it is in degrees. Find sine of 90, if it equals 1
you are ready to start. If it does not equal 1, you are in radians and must switch to degrees.
Answers
Step-by-step explanation:
Emeritus from a community college. I'm 74 years-old.
This certainly sounded interesting to me, so I asked James to write a guest post, and here it is. (Many of James' mails had the tag-line "Sent from my iPad".)
Over to James.
How do you find exact values for the sine of integer angles?
Here is one way of going about it.
Background
Let’s find some exact values using some well-known triangles. Then we’ll use these exact values to answer the above challenges.
sin 45°: You may recall that an isosceles right triangle with sides of 1 and with hypotenuse of square root of 2 will give you the sine of 45 degrees as half the square root of 2.
45-45 trianglesin 45
sin 30° and sin 60°: An equilateral triangle has all angles measuring 60 degrees and all three sides are equal. For convenience, we choose each side to be length 2. When you bisect an angle, you get 30 degrees and the side opposite is 1/2 of 2, which gives you 1. Using that right triangle, you get exact answers for sine of 30°, and sin 60° which are 1/2 and the square root of 3 over 2 respectively.
equilateral triangle
sin 30
sin 60
Using these results – sine 15°
How do you find the value of the sine of 15°?
Sine of half an angle in the first quadrant is given by the expression:
sin a/2
So the sine of 1/2 of 30° will be:
sin 15
which gives us
surd
or
surd
Note: We could also find the sine of 15 degrees using sine (45° − 30°).
sin 75°: Now using the formula for the sine of the sum of 2 angles,
Answer:
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