Question

if sin theta + cosec theta equal to 2 then sin square theta + cos square theta equal to what

Answer 1

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☸ Required Answer is ⬇ ⬇⬇ ⬇

☯ sin¢ + cos¢ = 2

squaring both sides,

(sin¢ + cos¢)² = 2²

sin²¢ + cos²¢ + 2sin¢.cos¢ = 4

sin²¢ + cos²¢ = 4/2sin¢.cos¢


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Answer 2

We have,(sin θ + cosec θ) = 2squaring both sides, we get    (sin θ + cosec θ)2 = 22⇒sin2θ + cosec2θ + 2×sin θ×cosec θ = 4⇒sin2θ + cosec2θ + 2×sin θ×1sin θ = 4⇒sin2θ + cosec2θ + 2 = 4⇒sin2θ + cosec2θ = 4 − 2⇒sin2θ + cosec2θ = 2

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