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If a -b =c, then a +b equals-

Question

If $a cos θ - b sin θ = c$ , then $a sin θ + b cos θ$ equals-

a^{2} + b^{2} + c^{2}

a^{2} - b^{2} - c^{2}

a^{2} + b^{2} + c^{2}

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

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Elizabeth Discussed

a cos θ - b sin θ = c

, then

a sin θ + b cos θ

equals-

10 mins ago

Discuss this question LIVE

10 mins ago

Text solutionVerified

a cos θ - b sin θ = c

Let,

a sin θ + b cos θ = x

Squaring and adding we get

a^{2} cos^{2} θ + b^{2} sin^{2} θ - 2 ab sin θ cos θ + a^{2} sin^{2} θ + b^{2} cos^{2} θ + 2 ab sin θ cos θ = c^{2} + x^{2}

\Rightarrow a^{2} + b^{2} - c^{2} = x^{2}

x = \pm a^{2} + b^{2} - c^{2}

Option D is the correct option

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Question Text	If $a cos θ - b sin θ = c$ , then $a sin θ + b cos θ$ equals-
Answer Type	Text solution:1
Upvotes	150