Trigonometry Section 4.3 Right Triangle Trigonometry.

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Presentation transcript:

Trigonometry Section 4.3 Right Triangle Trigonometry

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 Special triangle Special triangle Special triangle Fill in the unit circle. Fill in the unit circle.

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 _____.

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?

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

Homework Worksheets 3 & 4 Worksheets 3 & , Applications , Applications 61-66