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* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
IO1 - I can evaluate the six trigonometric functions for angles on the unit circle. Evaluate each of the following the expressions. 3 A. sin 4 11 B. cos 6 4 tan C. 3 17 sec D. 3 E. arcsin 1 2 3 G. arccos 2 F. cot 1 1 1 2 3 H. csc 3 SOLUTIONS 1 2 or A. 2 2 3 C. D. 2 7 11 , E. 6 6 G. 11 6 , B. 3 2 6 3 7 , F. 4 4 2 , H. 3 3 IO2 - I can sketch the graphs of a sine and cosine function. Sketch two cycles of each graph. A. y 2 5 sin x B. y 6 sin 3x C. y 4 cos 5 x D. y 3 6 cos x SOLUTIONS 6 3 A. B. -2 -6 -7 9 C. 4 D. 3 -4 -3 IO3 – Given the values of one trigonometric function, I can find the values of all the remaining trigonometric functions. A. 3 If cos and tan 0 , evaluate 11 sin and cot B. A. 3 8 If cot and , evaluate 2 5 csc and sec SOLUTIONS A. sin B. csc 112 11 cot 89 5 sec 3 112 89 8 IO4 - I can solve trigonometric equations using radian answers when the arguments for the trigonometric functions are all x’s. Solve for x on the domain 0 x 2 A. 2 sin x cos x cos x 0 B. 2 cos2 x cos x 1 C. 3 cot 2 x 1 0 SOLUTIONS 3 5 A. x , , , 2 2 6 6 2 4 B. x 0 , , 3 3 2 4 5 C. x , , , 3 3 3 3 IO6 - I can solve trigonometric equations using radian answers when a substitution is first required. Solve for x on the domain 0 x 2 A. sec x 2 tan x 0 B. cos2 x 2 sin x 2 0 C. tan 2 x 3 3 sec x SOLUTIONS 7 11 A. x , 6 6 B. x C. x 0 , 2 5 3 , 3 IO7 - I can verify trig identities. Show that the expression on the left hand side is equivalent to the expression on the right hand side. A. sin x cos x sec x 1 B. tan x and tan x sec x 1 and cos 2 x sin 2 x C. 1 2 sin x cos x tan x 1 tan 2 x and cot x 1 cot x 1