SOLUTION: I don't really know the topic.
Arrange the expressions in increasing order of their values.
1.cos(52.5)cos(7.5)
2.sin(52.5)cos(7.5)
3.sin(52.5)sin(7.5)
4.cos(52.5)sin(7.5
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-> SOLUTION: I don't really know the topic.
Arrange the expressions in increasing order of their values.
1.cos(52.5)cos(7.5)
2.sin(52.5)cos(7.5)
3.sin(52.5)sin(7.5)
4.cos(52.5)sin(7.5
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Question 1169143: I don't really know the topic.
Arrange the expressions in increasing order of their values.
1.cos(52.5)cos(7.5)
2.sin(52.5)cos(7.5)
3.sin(52.5)sin(7.5)
4.cos(52.5)sin(7.5) Answer by greenestamps(13200) (Show Source):
I'm guessing we are supposed to answer this question using estimation and our basic understanding of the sine and cosine functions -- rather than evaluating each expression using a calculator.
The sine function is 0 at 0 degrees and increases to 1 at 90 degrees. The increase is rapid in the beginning and slow at the end. At 45 degrees, the sine value is , which is about 0.7.
So useful estimations are sin(7.5) = 0.1 and sin(52.5) = 0.8.
The cosine function is 1 at 0 degrees and decreases to 0 at 90 degrees. The decrease is very slow at first and faster at the end. At 45 degrees, the cosine value is also , or about 0.7.
So useful estimations are cos(7.5) = 1 and cos(52.5) = 0.6.
