Day 5 examples u2w14
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This document discusses trigonometric ratios and the unit circle. It introduces the CAST rule for determining the quadrant of a point given its trigonometric ratios. It explains how to find the corresponding point on the unit circle given coordinates outside the unit circle. Finally, it introduces three new reciprocal trigonometric ratios and gives an example of finding six trigonometric ratios when given the sine value.
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This document discusses trigonometric ratios and the unit circle. It introduces trig functions like sine, cosine, and tangent and their relationships to points on the unit circle. Specifically, it states that for any point P(θ) on the unit circle with radius r=1, its x-coordinate is equal to cosine θ and its y-coordinate is equal to sine θ. It also defines three new reciprocal trig ratios - secant, cosecant, and cotangent - and notes that the CAST rule for determining quadrants based on signs of trig functions still applies when using these new ratios.
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This document discusses trigonometric ratios and the unit circle. It introduces the CAST rule which states that for any point P(θ) on the unit circle, the x-coordinate is equal to cosθ and the y-coordinate is equal to sinθ. It also defines the reciprocal trig functions secant, cosecant, and cotangent in terms of sine, cosine, and tangent. Examples are provided for finding points on the unit circle given trigonometric ratio values.
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This document discusses trigonometric ratios and the unit circle. It explains that for any point (x,y) on the unit circle, x=cosθ and y=sinθ. It also reviews trig ratio definitions and relationships like tangent=sin/cos. The document provides examples of finding trig function values given other information about a point on the unit circle. It introduces cosecant, secant and cotangent as reciprocal trig functions and confirms the CAST rule applies to them as well.
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This document discusses trigonometric ratios and the unit circle. It introduces trig functions like sine, cosine, and tangent and their relationships to points on the unit circle. Specifically, it states that for any point P(θ) on the unit circle with radius r=1, its x-coordinate is equal to cosine θ and its y-coordinate is equal to sine θ. It also defines three new reciprocal trig ratios - secant, cosecant, and cotangent - and notes that the CAST rule for determining quadrants based on signs of trig functions still applies when using these new ratios.
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This document discusses trigonometric ratios and the unit circle. It introduces the CAST rule which states that for any point P(θ) on the unit circle, the x-coordinate is equal to cosθ and the y-coordinate is equal to sinθ. It also defines the reciprocal trig functions secant, cosecant, and cotangent in terms of sine, cosine, and tangent. Examples are provided for finding points on the unit circle given trigonometric ratio values.
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Namasmaran And Romance Dr Shriniwas Janardan Kashalikar
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- 1. Trig Ratios & Unit Circle Using Pyth On unit circle This is true for on the unit circle Ex. Is the point (2, 1/2) on the unit circle?
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- 4. This is summarized in CAST rule In which quadrant does the terminal arm of a) sin < 0 and tan > 0 b) cos < 0 and tan < 0 lie if:
- 5. Finding P( ) on Unit Circle If given a point with coordinates (5, 12), how do you find the corresponding point on the unit circle, ie, P( ) ? If sin = Find tan and cos =
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