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MARKING BRAINLIEST!! Use a reference angle to find the exact value of the sine, cosine, and tangent of each angle. -pi. (unit circle) –
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MARKING BRAINLIEST!! Use a reference angle to find the exact value of the sine, cosine, and tangent of each angle. -pi. (unit circle) -pi= -180 degrees btw.
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Mathematics
5 years
2021-07-26T15:40:00+00:00
2021-07-26T15:40:00+00:00 1 Answers
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Answer:
The answer is below
Step-by-step explanation:
The question is not complete, a complete question is in the form:
Use a reference angle to find the exact value of the sine, cosine, and tangent of each angle. 260°
Solution:
There are four quadrants which divides into four equal parts. If θ is the angle:
If θ falls in the first quadrant, the reference angle = θ
If θ falls in the second quadrant, the reference angle = 180 – θ
If θ falls in the third quadrant, the reference angle = θ – 180
If θ falls in the fourth quadrant, the reference angle = 360 – θ
Given 260°, this falls in the third quadrant, hence the reference angle = 260 – 180 = 80°.
In the third quadrant, sine and cosine are negative while tangent is positive. Hence:
sin(260) = -sin(80) = -0.985
cos(260) = -cos(80) = -0.174
tan(260) = tan(80) = 5.67