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4. (1 Point) Which Expression Is Equivalent to (sinTheta +cosTheta )^2 Sin^2Theta +cos^2Theta B. 2sinTheta CosTheta C. 1+2sinTheta

Question

4. (1 point) Which expression is equivalent to (sinTheta +cosTheta )^2 sin^2Theta +cos^2Theta b. 2sinTheta cosTheta c. 1+2sinTheta cosTheta d. I

Solution

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Answer

### C.

Explanation

## Step 1: Expand the Expression### Expand using the formula . This gives us .## Step 2: Apply the Pythagorean Identity### Recall the Pythagorean identity: . Substitute this into the expanded expression from Step 1. This simplifies the expression to .