3.
If sin theta+cos theta =r. What is the value of sin theta.cos theta
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Step-by-step explanation:
sinθ + cosθ = r
squaring both sides,
(sinθ + cosθ)² = r²
(sin²θ + cos²θ) + 2sinθ x cosθ = r²
1 + 2sinθ x cosθ =r²
2sinθ x cosθ =r² - 1
sinθ x cosθ = r² - 1/2
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