Question

please type up a clear explination for how to do these and explain what the unit circle is. hw due at 12 tonight. thank you!

Find the amplitude, period, and phase shift of the function. Graph the function. Be sure to label key points. Show at least two periods. y=2 sin (Tx+ 5)-2 6 5 What is the amplitude? 4 3 (Simplify your answer. Type an exact answer, using as needed. Use integers fractions for any numbers in the expression.) 2- or 1- What is the period? -2s 3r 3m -x -1- 2 -2- 2 2 (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) -3- 4 -5- What is the phase shift? -6- -7- (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) Use the graphing tool to graph the function. N 7x to Find the average rate of change of f from 6 f(x) tan x The average rate of change is (Simplify your answer, including any radicals. Type an exact answer, using r as needed.) Draw the angle. 270° Choose the correct answer below. OA B. O C. OD. Find the exact value of each of the remaining trigonometric functions of 0. 7 Cos 10' 2 t>0> sin 0= (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) tan 0 (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) csc 0= (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) sec 0 (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) cot e (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) If f(0) sin (0), find the exact value of the function below if 0 = 45°. (Do not use a calculator.) f(30) f(30)- (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Rationalize all de Use the fact that the trigonometric functions are periodic to find the exact value of the given expression. Do not use a calculato 7t cot 7x cot (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) 3 Graph the following function. Show at least two cycles. Use the graph to determine the domain and range of the function. y tan Choose the correct answer below. O A. O B. O C. O D. 2 Ay -25 Use the graph to determine the domain of y= tan OA. (xx 1k, k is an odd integer) O B. xx#kr, k is an integer) k k is an odd integer) O C. (xx# O D. All real numbers Graph the following function. Show at least two cycles. Use the graph y tan Use the graph to determine the domain of y = tan O A. (x]x 1k, k is an odd integer O B. (xlx#kt, k is an integer k k is an odd integer O C. (x)x# O D. All real numbers Use the graph to determine the range of y tan | x 2 O A. All real numbers B. fyly 1) C. (yly2 1) D. (yly2 1 and ys 1} Use a calculator to find the approximate value of the expression. Round the answer to two decimal places. tan 8 tan 8 (Round to two decimal places as needed.) V3 2 Find the values of sin t, cos t, tan t, csc t, sect, and cott if P = is 2 the point on the unit circle that corresponds to the real number t. sint= (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) cost= (Simplify your answer, including any radicals. Use integers fractions for any numbers in the expression.) or tant (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) Csct= (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) sect (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) cott = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)

Answer 1