Question
Asked Oct 25, 2019
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Suppose that cos(2α)=1/3, 360∘<2α<450∘. Find the six trigonometric values of α. 

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Expert Answer

Step 1

Determine the sign of the function values in which of the quadrant as follows.

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(a) In the first quadrant, all the six trigonometric functions are positive. (b) In the second quadrant, sine function is positive and cosine and tangent functions are negative (c) In the third quadrant, tangent function is positive and sine, cosine functions are negative. (d) In the fourth quadrant, cosine function is positive, sine and tangent function are negative 1 Given that, cos 2a -,360° <2a < 450° 3

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Step 2

Find the value of sin α.

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1-cos 2a sin a 360° 2a < 450° 180° <a< 225° 2 1 3 2 6

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Step 3

Find the value of c...

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Tagged in
MathTrigonometry

Trigonometric Ratios