145k views
5 votes
Use trigonometric identities, algebraic methods, and inverse trigonometric functions, as necessary, to solve the following trigonometric equation on the interval [0, 27).Round your answer to four decimal places, if necessary. If there is no solution, indicate "No Solution."Scos(x) - 5 = 0

Use trigonometric identities, algebraic methods, and inverse trigonometric functions-example-1

1 Answer

0 votes

we have the function


5\cos x-5=0

Rewrite


\begin{gathered} 5\cos x=5 \\ \cos x=(5)/(5) \\ \cos x=1 \end{gathered}

The domain for x is the given interval [0,2pi) ----> 2pi is not included

the values of x are

x=0 radians

The solution is x=0

User Bodacydo
by
6.8k points