Degree solutions

Question

Find all degree solutions to the following equations.

cos(A - 60 degrees) = rad3/2

Answer 1

Degree solutions - Find all degree solutions to the following equations: cos (A – 60^°) = √3/2

Detailed Solution

cos (A – 60^°) = √3/2 (Positive Q1 and Q4)

A – 60^° = cos^-1(√3/2) = 30^° <== Q1

A – 60^° = 30^° ==> A = 30^° + 60^° ==> A = 90^°

A – 60^° = cos^-1(√3/2) = 360^° – 30^° = 330^° <== Q4

A – 60^° = 330^° ==> A = 330^° + 60^° ==> A = 390^°

A = 90^°, 390^° <== Final Solution