What is the pattern in the values as the exponents increase?
1 answer:
The pattern in the values as the exponents increase is multiply the previous value by 2.
<h3>What is exponents and powers?</h3>Exponents and powers are ways used to represent very large numbers or very small numbers in a simplified manner.
Given:
Powers of 2 Values
1/32
1/16
1/8
1/4
1/2
As, from the given data we can see that negative powers of 2 reducing by 1.
as, 2^-5 * 2= 2^-4
Hence, multiply the previous value by 2 to obtain the next value.
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Answer:
2) 162°, 72°, 108°
3) 144°, 54°, 126°
Step-by-step explanation:
1) Multiply the equation by 2sin(θ) to get an equation that looks like ...
sin(θ) = <some numerical expression>
Use your knowledge of the sines of special angles to find two angles that have this sine value. (The attached table along with the relations discussed below will get you there.)
____
2, 3) You need to review the meaning of "supplement".
It is true that ...
sin(θ) = sin(θ+360°),
but it is also true that ...
sin(θ) = sin(180°-θ) . . . . the supplement of the angle
This latter relation is the one applicable to this question.
__
Similarly, it is true that ...
cos(θ) = -cos(θ+180°),
but it is also true that ...
cos(θ) = -cos(180°-θ) . . . . the supplement of the angle
As above, it is this latter relation that applies to problems 2 and 3.
