SOLUTION: Please help me solve Find the exact value of a. sin 300° b. tan(405°)(Hint:405° =360° +45°) c. cot (13π/3) (Hint:13π/3= 4π+π/3)

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Question 980061: Please help me solve
Find the exact value of
a. sin 300°
b. tan(405°)(Hint:405° =360° +45°)
c. cot (13π/3) (Hint:13π/3= 4π+π/3)

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
I'll do the first two parts to get you started.

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a)

300 degrees is in quadrant IV. The reference angle formula for quadrant IV is

R = 360 - x

where R is the reference angle and x is the given angle, so,

R = 360 - x
R = 360 - 300
R = 60

Now use either a 30-60-90 triangle, or a unit circle to find that

Because this angle (300 degrees) is in Q4, we know sine is negative



Final Answer:
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b)













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So,

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