Using the identity sin26 sin^2Theta cos^2Theta = the value of cosTheta to the nearest hundredth , if sin26 sinTheta =-0.79 and pi lt Theta lt (3pi )/(2) Answer Attemptiout of 2

Question

Answer 1

We are given that

and

. We are asked to find the value of

.We use the trigonometric identity

.Substituting the given value of

, we have:

Since

,

is in the third quadrant. In the third quadrant, both sine and cosine are negative. Therefore, we take the negative value for

.

Rounding to the nearest hundredth, we get:

Final Answer: The final answer is

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