Find all solutions to the equation. sin2t +2 sint-8:0 Select the correct choice

Question

Find all solutions to the equation. sin2t +2 sint-8:0 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. OAn, where n is any integer. B. t-T! +n or t-T + -n, where n is any integer. O c. t-W-mn, t-W-mn. or t-W-mn, where n is any integer. (Type exact answers, using as needed. Use integers or fractions for any numbers in the expression. Type exact answers, using as needed. Use ascending order. Use integers or fractions for any numbers in the expression. ype exact answers using as needed. Use ascending order. Use integers or fractions for any numbers in the expression D. There is no solution. Click to select and enter your answer(s).

Explanation / Answer

let sint =u so we get

u2+2u-8=0

u2+4u-2u-8=0

u(u+4)-2(u+4)=0

(u+4)(u-2)=0

so u= -4 or u= 2

so sint = -4 or sint =2

but the value of sint is in the range of -1 to 1

so there is no solutionfor the system so option d

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