Given that $\sin \theta = \frac{a}{b},$ then $\cos \theta$ is equal to

  • A
    $\frac{b}{\sqrt{b^{2}-a^{2}}}$
  • B
    $\frac{b}{a}$
  • C
    $\frac{a}{\sqrt{b^{2}-a^{2}}}$
  • D
    $\frac{\sqrt{b^{2}-a^{2}}}{b}$

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Similar Questions

If $a \sin \theta + b \cos \theta = c$,then prove that $a \cos \theta - b \sin \theta = \pm \sqrt{a^2 + b^2 - c^2}$,given $a^2 + b^2 \geq c^2$.

Difficult
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If $\operatorname{cosec} \theta = \frac{2}{\sqrt{3}}$,then $\theta = \ldots$ (in $^\circ$)

If $0 < \theta < 90$ and $\sin \theta = \cos 30$,then $2 \tan^2 \theta - 1 = \dots$

If $\sqrt{3} \tan \theta = 1$,then find the value of $\sin^{2} \theta - \cos^{2} \theta$.

$\cos (40^{\circ}-\theta)-\sin (50^{\circ}+\theta) = \ldots \ldots \ldots \ldots$

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