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Published byAshlee Williams Modified over 8 years ago

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Students will recognize and apply the sine & cosine ratios where applicable. Why? So you can find distances, as seen in EX 39. Mastery is 80% or better on 5-minute checks and practice problems.

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Let ∆ABC be a right triangle. The since, the cosine, and the tangent of the acute angle A are defined as follows. sin A = Side opposite A hypotenuse = a c cos A = Side adjacent to A hypotenuse = b c tan A = Side opposite A Side adjacent to A = a b

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When looking for missing lengths & angle measures what is the determining factor in deciding to use Sin, Cos & Tan? How do you know which on to use?

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Students will recognize and apply the sine & cosine ratios where applicable. Why? So you can find distances, as seen in EX 39. Mastery is 80% or better on 5-minute checks and practice problems.

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You can use a calculator to approximate the sine, cosine, and the tangent of 74 . Make sure that your calculator is in degree mode. The table shows some sample keystroke sequences accepted by most calculators.

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Sample keystroke sequences Sample calculator displayRounded Approximation 74 0.9612626950.9613 0.2756373550.2756 3.4874144443.4874 sin ENTER 74 COS ENTER 74 TAN ENTER

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A trigonometric identity is an equation involving trigonometric ratios that is true for all acute triangles. You are asked to prove the following identities in Exercises 47 and 52. (sin A) 2 + (cos A) 2 = 1 tan A = sin A cos A

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