How do you solve #Cos ( x + pi/6 ) = 0.5 # over the interval 0 to 2pi?
Again
By signing up, you agree to our Terms of Service and Privacy Policy
To solve ( \cos(x + \frac{\pi}{6}) = 0.5 ) over the interval ( 0 ) to ( 2\pi ):

Rewrite the equation as ( x + \frac{\pi}{6} = \arccos(0.5) ).

Find the principal value of ( \arccos(0.5) ) using a calculator or reference table. The principal value is ( \frac{7\pi}{3} ).

Subtract ( \frac{\pi}{6} ) from ( \frac{7\pi}{3} ) to find the solution for ( x ) within the given interval.

( x = \frac{7\pi}{3}  \frac{\pi}{6} = \frac{14\pi}{6}  \frac{\pi}{6} = \frac{13\pi}{6} ).

Check if ( \frac{13\pi}{6} ) lies within the interval ( 0 ) to ( 2\pi ).

Since ( \frac{13\pi}{6} ) is greater than ( 2\pi ), there are no solutions within the given interval.
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
 98% accuracy study help
 Covers math, physics, chemistry, biology, and more
 Stepbystep, indepth guides
 Readily available 24/7