507 views
4 votes
I need help with this practice problem solving My attempted answer is in the picture, though I don’t know if I’m correct, that’s why I’m checking

I need help with this practice problem solving My attempted answer is in the picture-example-1

1 Answer

5 votes

Given:

Given that a trigonometric statement.

Required:

To check whether the given statements are true or false`.

Step-by-step explanation:

(1)

Now consider LHS side of the given statement,


\cos(-(5\pi)/(3))=\cos(2\pi-(5\pi)/(3))

Because adding 2π does not change the value of a trigonometric function.

Now,


\begin{gathered} \cos(2\pi-(5\pi)/(3))=\cos(\pi)/(3) \\ \\ =(1)/(2) \end{gathered}

Therefore, the statement is false.

(2)


\begin{gathered} cot(-(11\pi)/(3))=cot(\pi)/(3) \\ \\ =(1)/(√(3)) \end{gathered}

Therefore, the statement is False.

(3)

Remove full rotations of 2π until the angle is between 0 and 2π.


\begin{gathered} \sin((27\pi)/(2))=\sin((3\pi)/(2)) \\ \\ =-1 \end{gathered}

Therefore, the statement is TRUE.

Final Answer:

The first and second statement are FALSE and the third one is TRUE.

.

User KingFu
by
7.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories