Question Help 7Solve the equation. Give a general formula for all the solutions.

Question

Question Help 7Solve the equation. Give a general formula for all the solutions. List all the solutions for k-0. 1, and 2 sin (20)-2 Wite the general form for all the solutions to sin (20)-2 based on the smaller angle (Simplify your answer. Type an exact answer, using x as needed. Use integers or fractions for any numbers in the expression. Type an expression using k as the variable.) /3 -2 based on the larger angle. Write the general form for all the solutions to sin (20) 8 Simpli y your answer. Type an exact answer, using as needed. Use integers or ract ons or any numbers in he expression. Type an expression using k as he variable) List the solutions for k-0, 1, and 2 Simplify your answer. Type an exact answer using as needed. Use integers or ractions for any numbers in the expression. Use a comma to separate answers as ests needed) Enter your answer in each of the answer boxes tion

Explanation / Answer

sin(2) = -(3)/2

=>2 =  2k+(4/3),2 =  2k+(5/3)

=> = k+(2/3), = k+(5/6)

general formula:

based on smaller angle, = k+(2/3)

based on larger angle, = k+(5/6)

for k=0,1,2

= 0*+(2/3), 0*+(5/6),1+(2/3), 1+(5/6),2+(2/3), 2+(5/6)

= (2/3), (5/6), (5/3), (11/6),(8/3), (17/6)

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