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Find sin it cos8 it cos 8 = - 12 is in the third quadrant.04-12OBI08-1ORYReset Selection

Find sin it cos8 it cos 8 = - 12 is in the third quadrant.04-12OBI08-1ORYReset Selection-example-1
User Wchung
by
8.5k points

1 Answer

3 votes

Solution:

Given:


cos\theta=-(√(2))/(2)
\begin{gathered} \theta=cos^(-1)(-(√(2))/(2)) \\ \theta=135^0 \\ \\ In\text{ the third quadrant, } \\ \theta=180+45 \\ \theta=225^0 \end{gathered}

Hence,


sin225^0=-(√(2))/(2)

Therefore, the correct answer is OPTION A.

User Amit Jayant
by
8.0k points

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