Two options are same A and D (Question:321050.0)

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SACHIN MALIK

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· 1 Months ago

Two options are same A and D (Question:321050.0)

Two options are same A and D

Question:

If $\frac{a}{s i n A} = \frac{b}{s i n B}$ and $(A + B) = 9 0^{0}$ then $s i n A - c o s A$ is:

Options:

$\frac{a - b}{\sqrt{a^{2} + b}}$

$\frac{b - a}{\sqrt{a^{2} + b^{2}}}$

$\frac{a - b}{\sqrt{a^{2} - b^{2}}}$

$\frac{a - b}{\sqrt{a^{2} + b^{2}}}$

Solution:

$\frac{a}{s i n A} = \frac{b}{s i n B} = \frac{b}{c o s A} \Rightarrow \frac{s i n A}{c o s A} = \frac{a}{b} = t a n A = \frac{L}{A}$

$s i n A = \frac{a}{\sqrt{a^{2} + b^{2}}} c o s A = \frac{b}{\sqrt{a^{2} + b^{2}}} \Rightarrow s i n A - c o s A = \frac{a - b}{\sqrt{a^{2} + b^{2}}}$

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Two options are same A and D (Question:321050.0)

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