Solve the given equation. (Enter your answers as a comma-separated list. Let k b

Question

Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.)

1 points SPreCalc7 7.4.047 Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.) My Notes Ask Your Teacher cos (e) - cos(e)- 120 Need Help? ReaditE-Match" Watch It Submit Answer Save Progress Practice Another Version + 1 points SPreCalc7 7.4.055 My Notes Ask Your Teacher Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.) 7 tan(8) sin()-4 tan(8)-0 Need Help? Readirl L watehel +1-12 points SPreCalc7 7.4.024 My Notes Ask Your Teacher Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to two decimal places where appropriate.) sin()--0.8 rad List six specific solutions. rad Need Help? LReadit

Explanation / Answer

cos^2 theta - cos theta - 12 = 0

( cos theta - 4 ) ( cos theta + 3 ) = 0

cos theta - 4 = 0

cos theta = 4

theta = cos^-1 ( 4)

no solutions

theta = cos^-1 (-3)

no solutions

hence,the equation has no solutions

2) 7 tan theta sin theta - 4 tan theta = 0

tan theta ( 7 sin theta - 4 ) = 0

tan theta = 0

theta = k*pi

7 sin theta - 4 = 0

sin theta = 4/7

theta = 0.608 + 2k*pi , 2.532 + 2k*pi , k*pi

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