7-3 Points Not On The Unit Circle

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Presentation transcript:

7-3 Points Not On The Unit Circle

Points not on the Unit Circle Cosine r P (x, y) Sine y x Tangent

If the terminal ray of an angle in standard position passes through (-3, 4), find the sine, cosine, and tangent of the angle. Steps Sketch a picture of the circle centered at the origin that goes through the given point Create a right triangle by dropping an altitude to the x-axis The angle formed is call a reference angle for the originally described angle Use the Pythagorean Theorem to solve for the third side of the triangle Use SohCahToa to find each of the trigonometric ratios for the original angle described r P (-3, 4)

Where are Cosine and Sine positive and negative? + - Cosine + - Sine

Signs of Trig. Functions on Unit Circle Sine All Tangent Cosine Where are the trig. functions positive?

State whether the sine and the cosine of each angle is positive, negative, or zero. -

Complete each statement using <, >, or = sin 30˚_______sin (-30˚) cos 30˚_______cos(-30˚) cos 300˚______cos 330˚

#1 If the terminal ray of an angle in standard position passes through (-3, 1), find the sine, cosine, and tangent of the angle.

#2 If the terminal ray of an angle in standard position passes through (1, -2), find the sine, cosine, and tangent of the angle.

#3 If the terminal ray of an angle in standard position passes through (-10, -8), find the sine, cosine, and tangent of the angle.

#4 If the terminal ray of an angle in standard position passes through (7, 5), find the sine, cosine, and tangent of the angle.

#5 If the terminal ray of an angle in standard position passes through (-6, -2), find the sine, cosine, and tangent of the angle.

#6 If the terminal ray of an angle in standard position passes through (9, -10), find the sine, cosine, and tangent of the angle.

#7 If the terminal ray of an angle in standard position passes through (-5, 12), find the sine, cosine, and tangent of the angle.

If is a third-quadrant angle and sine is -5/13, find cos

Homework P.271: #4 P.272: #17-20

Warm-Up