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Trigonometry Section 4.3 Right Triangle Trigonometry.

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Presentation on theme: "Trigonometry Section 4.3 Right Triangle Trigonometry."— Presentation transcript:

1 Trigonometry Section 4.3 Right Triangle Trigonometry

2 Special Right Triangles A unit circle has a radius of _____. A unit circle has a radius of _____. The hypotenuse is _____ of a triangle. The hypotenuse is _____ of a triangle. The hypotenuse of the triangles inside the unit circle has a length of _____. The hypotenuse of the triangles inside the unit circle has a length of _____. Special triangle 30-60-90 Special triangle 30-60-90 Special triangle 45-45-90 Special triangle 45-45-90 Fill in the unit circle. Fill in the unit circle.

3 SOHCAHTOA SOHCAHTOA is an acronym to help us remember the right triangle definitions. SOHCAHTOA is an acronym to help us remember the right triangle definitions. S stands for _____. S stands for _____. C stands for _____. C stands for _____. T stands for _____. T stands for _____. O stands for _____. O stands for _____. A stands for _____. A stands for _____. H stands for _____. H stands for _____.

4 Right Triangle Definitions of Trig Functions Therefore, SOH means _____. Therefore, SOH means _____. CAH means _____. CAH means _____. TOA means _____. TOA means _____. Adjacent and opposite are terms relative to the _____. Adjacent and opposite are terms relative to the _____. Sine, cosine, and tangent are ratios of triangles. Sine, cosine, and tangent are ratios of triangles. So why are sine and cosine always between -1 and 1? So why are sine and cosine always between -1 and 1?

5 Evaluating Trig Functions Ex 1 Ex 1 Memorize all identities Memorize all identities Reciprocal identities Reciprocal identities Quotient identities Quotient identities Pythagorean identities Pythagorean identities Ex 4 Ex 4 Ex 5 Ex 5 Ex 7 Ex 7

6 Homework Worksheets 3 & 4 Worksheets 3 & 4 1-60, Applications 61-66 1-60, Applications 61-66


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