2 cos (3 theta)=-sqrt{2}

Question

Accepted Answer

Step:1 ：Divide both sides of the equation by 2 to isolate (cos (3 theta)): (cos (3 theta) = -frac{sqrt{2}}{2})Step:2 ：Use the inverse cosine function to find the value of (3 theta): (3 theta = cos^{-1}(-frac{sqrt{2}}{2}))Step:3 ：Calculate the value of (3 theta): (3 theta = 2.356194490192345)Step:4 ：Divide by 3 to find the value of (theta): (theta = frac{2.356194490192345}{3})Step:5 ：Calculate the value of (theta): (theta = 0.7853981633974483)Step:6 ：Convert (theta) to degrees: (theta = 45.0) degreesStep:7 ：Final Answer: The solution to the equation (2 cos (3 theta)=-sqrt{2}) is (boxed{45}) degrees

Answer

Step: 1 ：Divide both sides of the equation by 2 to isolate (cos (3 theta)): (cos (3 theta) = -frac{sqrt{2}}{2})Step: 2 ：Use the inverse cosine function to find the value of (3 theta): (3 theta = cos^{-1}(-frac{sqrt{2}}{2}))Step: 3 ：Calculate the value of (3 theta): (3 theta = 2.356194490192345)Step: 4 ：Divide by 3 to find the value of (theta): (theta = frac{2.356194490192345}{3})Step: 5 ：Calculate the value of (theta): (theta = 0.7853981633974483)Step: 6 ：Convert (theta) to degrees: (theta = 45.0) degreesStep: 7 ：Final Answer: The solution to the equation (2 cos (3 theta)=-sqrt{2}) is (boxed{45}) degrees

$2 \cos (3 θ) = - \sqrt{2}$

Answer

Popular Problems

2cos⁡(3θ)=−2

Answer

Popular Problems

$2 \cos (3 θ) = - \sqrt{2}$