Six Trigonometric Values in a Unit Circle

Find the exact values of the six trigonometric functions of the given angle. Do not use a calculator.

390°

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The point given below is on the terminal side of an angle θ in standard position. Find the exact value of each of the six trigonometric functions of θ.

(10,−24)

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Use reference angles to find the exact value of the following expression.

cos(300°)

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Find the exact value of sin α​, given that cos α= 8/11 and α is in quadrant I.

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What is the length of the hypotenuse of the triangle? (Think about it as a radius)

OP=___

Label OP on your paper.

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Answer explanation

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Answer explanation

-√3/2

-½

-√2/2

-1

• -√3/2

• -½

• -√2/2

• -1

• ½
• √2/2
• √3/2
• 1

Using θ as a reference angle, mark the triangle sides as Opp, Adj, and Hyp. Label these on the triangle on your paper.

• Opp

• y

• Adj

• x

• Hyp

• OP