Explain how the cosine and sine functions are defined. Think about the unit circle and right triangles. For example, when we ask for the value of cos(), which definition are we using? Why? Suppose that 0 € ;, 1] and that sin 0 = . What is the value of cos 0 ?

Q: Determine the Quadrant in which angle O is located if cos < 0 and tan 0 > 0. See attached…

A: In the unit circle, each quadrant has specific signs for the trigonometric functions. The signs are…

Q: Use a calculator to evaluate the expression. cos ? (67°) + sin ? (67°) cos ? (67°) + sin ² (67°) =…

A: Pythagorean identity.      cos2(θ)+sin2(θ)=1

Q: please explain how do we answer the question attached. Do we need to use a calculator?

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Q: If tan θ= 2/3, find an exact value for sin θ. Include a diagram.

A: The objective is to find an exact value for sin θ.

Q: 2. In this triangle, what is equivalent to cos A? cos B sin(90-B) O sin A sin(90-A)

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Q: 3 If cos = = . -²4 and is in Quadrant III, what is the value of the sin ?

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Q: Use the half-angle formulas to determine the exact values of the sine, cosine, and tangent of the…

A: Using the half angle formula find sin 15° , cos 15° and tan15°  , cos 15° and tan15° Use,      1…

Q: If cos t = -1/3, and t is in the 3rd quadrant, find sin t, sec t, csc t, tan t, cot t. (Please…

A: Step 1:Step 2:

Q: there are sin, cos and tan on the calculator keys. Can you tell how can you get the value of tan?

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Q: 10. Find the exact values of the other four trigonometric functions of if cos 0 = = and sin 8=- 12…

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Q: 9) Simplify each trigonometric expression. cos? e a. 1- 1+sin 0 b. sec 0 · sin 0

A: We know the formula sin2θ+cos2θ=1 9(a)=1-cos2θ1+sinθput    cos2θ=1-sin2θ=…