The unit circle and trigonometric functions go hand-in-hand. Each angle on the unit circle creates a point for a trigonometric function using the angle and function-related point value. First we will look at the sine curve and how it can be graphed using the unit circle. We have learned that sin t = y. This means that for each angle, the y-value of its related point is the y- coordinate in a point on the graph of f(x) = sin x. For example, the point associated with the angle, %3D is 6' %3D - G). So, f () = sin" = Therefore, the related point on the graph of f(x) = sin x is (",). %D 6. Let's try a few... 0 = 0: The point associated with the angle, 0 radians, is (1,0). So, f(0) = sin 0 = 0. Therefore, the point associated with the angle, 0, is (0,0). %3D

Q: Describe the steps we use to find the value of a trigonometric function of an angle u.

A: Trigonometric functions are also called as a Circular Functions. It is defined as the functions of…

Q: Find the values of the three trigonometric functions of an angle A if its sine is 3/5 .

A: Given: sinA=35 sinθ=Opposite sideHypotenuse=35

Q: What is the range of the sine function? Use the unit circle to explain where this range comes from.

A: To Determine:  What is the range of the sine function? Use the unit circle to explain where this…

Q: Is the sine function even, odd, or neither?

A: We know that, a function fx is said to be even if and only if f-x=fx. Also a function fx is said to…

Q: Does the following statement make sense: “I’m using a value for t and a point on the unit circle…

A: Does the following statement make sense: “I’m using a value for t and a point on the unit circle…

Q: Write cos ⁡ ( θ ) in terms of sin ⁡ ( θ ) if θ is an angle in quadrant II.

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Q: A Ferris wheel at an amusement park has a diameter of 60 meters and takes 40 seconds to complete one…

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Q: Show that cosine is an even function and sine is odd.

A: We have to prove that f(x)=cos(x)  is an even function and g(x)=sin(x) is even function .

Q: Need helped on this trigonometric derivatives

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Q: Find the exact value of the trigonometric function cot 5π/4. Do not use a calculator.

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Q: #5. Write the expressions in terms of sine and cosine and then simplify each of the following to an…

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Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.