Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
72
The measure of angle is 4. The measure of its reference angle is
and tan eis

Question

08-12-2021
Mathematics

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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
72
The measure of angle is 4. The measure of its reference angle is
and tan eis

$Type the correct answer in each box Use numerals instead of words If necessary use for the fraction bars 72 The measure of angle is 4 The measure of its referen class=$

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reinhard10158 reinhard10158 · Answer 1 · 2021-12-08T18:11:39+01:00

Step-by-step explanation:

the reference angle is the smallest angle difference between the defining terminal arm of the angle and the x-axis. it is always positive.

if an angle is smaller than 90°, then it is is own reference angle.

7pi/4 is 1pi/4 (or simply pi/4) short of a full circle (2pi or 8pi/4).

therefore, if is easy to see that this pi/4 is the reference angle (45°).

tan(7pi/4) = -1, while tan(pi/4) = 1.

for every 45° angel in every quadrant the absolute values of sine and cosine are equal.

but in quadrant 1 both, sine and cosine, are positive, while in quadrant 4 sine is negative and cosine is positive.

and since tan = sine/cosine, this gives us the results above.

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). 72 The measure of angle is 4. The measure of its reference angle is and tan eis

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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
72
The measure of angle is 4. The measure of its reference angle is
and tan eis