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Sum it Square it

Geometry Level 3

If \(\tan A, \tan B\) are roots of \(x^{2} - Px + Q = 0\) the value of \(\sin^{2}(A+B) \) is?

Note: \(P,Q\) are real numbers.

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\[\frac{P^{2}}{Q^{2} + (1-Q)^{2}}\] \[\frac{P^{2}}{(P + Q)^{2}}\] \[\frac{P^{2}}{P^{2} + Q^{2}}\] \[\frac{P^{2}}{P^{2} + (1-Q)^{2}}\]

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Excel in math and science

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by Harshvardhan Mehta

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