If a cos-b sin-4 and a sin-b sin-3- then a2-b2-a 7b 12c 25d None of these

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Range of Trigonometric Ratios from 0 to 90 Degrees

If a cosθ+b s...

Question

If a cos θ + b sin θ = 4 and a sin θ − b sin θ = 3, then a² + b² =

(a) 7
(b) 12
(c) 25
(d) None of these

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a c o s θ + b s i n θ = 4

a s i n θ - b c o s θ = 3

a^{2} + b^{2} =

\pm \sqrt{a^{2} + b^{2} + c^{2}}

\pm \sqrt{a^{2} + b^{2} - c^{2}}

\pm \sqrt{c^{2} - a^{2} - b^{2}}

a cos θ + b sin θ = m a n d a sin θ - b cos θ = n, t h e n a^{2} + b^{2}

x = a cos θ + b sin θ

y = a sin θ - b cos θ

a^{2} + b^{2} = x^{2} + y^{2}

a cos θ + b sin θ = c

a sin θ - b cos θ = \pm \sqrt{a^{2} + b^{2} - c^{2}}

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