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A. Calculate the value of each to 4 decimal places: i)sin 43sin 137sin 223sin 317. ii) cos 25cos 155cos 205cos 335. iii)tan 71tan 109 tan 251tan 289.

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Presentation on theme: "A. Calculate the value of each to 4 decimal places: i)sin 43sin 137sin 223sin 317. ii) cos 25cos 155cos 205cos 335. iii)tan 71tan 109 tan 251tan 289."— Presentation transcript:

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3 A. Calculate the value of each to 4 decimal places: i)sin 43sin 137sin 223sin 317. ii) cos 25cos 155cos 205cos 335. iii)tan 71tan 109 tan 251tan 289 Similarities? Differences? Why?

4 C.A.S.T. Rule The CAST rule defines the quadrants where each trig function is POSITIVE.

5 Therefore: A ll trig ratios are positive in Quadrant I The S ine ratio is the only ratio positive in Quad. II The T angent ratio is the only ratio positive in Quad. III The C osine ratio is the only ratio positive in Quad. IV Examples: Write the expression relating each function to its reference angle. i)sin 310cos 290 tan 125sin 150

6 State the exact value of each of the following; a) sin 300 b) cos 150 c) d) e)

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8 Note: A restriction on a Trig equation limits the values of the solution set as the solutions must fall within the limits posed by the restriction. Examples: 1. Solve for to the nearest degree, a)b)c)

9 2. Solve for to the nearest degree. a) b)

10 c) d)

11 Pg. 454 #12,13ac,14ace,16acd, 19bcdf,MC 1,2 Pg. 437 #15,16,MC 1,2


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