What is the reference angle for $$95\degree$$ ?

The reference angle is $$85\degree$$ .

The terminal side of an angle passes through the point $$(-2, 3)$$ . Find $$\cos\theta$$ .

$$\cos\theta = -\frac{2\sqrt[]{13}}{13}$$ .

What is the reference angle for $$\theta=210\degree$$ ?

The reference angle is $$30\degree$$ .

Evaluate $$\sin x + 1 = 0$$ on the interval $$[0, 2\pi]$$ .

The solution is $$\frac{3\pi}{2}$$ .

How do you find $$\sin\theta$$ given a point on the terminal side?

If the point is $$(x, y)$$ , then $$\sin\theta = \frac{y}{r}$$ , where $$r = \sqrt{x^2 + y^2}$$ .

What is the range of the sine function?

The range of the sine function is $$[-1, 1]$$ .

What is the relationship between sine and cosine for complementary angles?

For complementary angles, $$\sin(90\degree - \theta) = \cos\theta$$ .

How do you convert degrees to radians?

To convert degrees to radians, multiply by $$\frac{\pi}{180}$$ .

What is the Pythagorean identity involving sine and cosine?

The Pythagorean identity is $$\sin^2\theta + \cos^2\theta = 1$$ .

What is the unit circle?

The unit circle is a circle with a radius of 1 centered at the origin of the coordinate plane.

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