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Solve the given trigonometric equations analytically and by use of a graphing ca

ID: 1949303 • Letter: S

Question

Solve the given trigonometric equations analytically and by use of a graphing calculator. Use values of x for 0 x 2 pi. 64 sin2 x - 32 = 0 Select the correct choice below and if necessary, fill in the answer box to complete your choice. x = radians (Simplify your answer. Type an exact answer, using pi as needed. Type an exact answer, using pi as needed. Type your answer in radians. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) There is no solution.

Explanation / Answer

sin^2 x=32/64==1/2 ==>sinx= 1/v2,-1/v2 ==>x=p/4,3p/4,5p/4,7p/4 ==>x= 0.79,2.36,3.93,5.50

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