JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Analyzing +4 | -1

\sin \alpha=\frac{1}{\sqrt{5}}

and

\sin \beta=\frac{3}{5}

, then

\beta-\alpha

lies in the interval

View answer and explanation

Correct option: A

\left(0, \frac{\pi}{4}\right) \cup\left(\frac{3 \pi}{4}, \pi\right)

Option A (

\left(0, \frac{{\pi}}{{4}}\right) \cup\left(\frac{{3 \pi}}{{4}}, \pi\right)

) is correct because the value of

\sin(\beta - \alpha)

is positive and less than

\frac{{1}}{{\sqrt{{2}}}}

, which restricts the interval for

\beta - \alpha

More Questions from TRIGONOMETRIC EQUATIONS

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\sin \,\,x\,\,\;cos\,\,3x = \sin \,\,3x\,\,\cos \,\,5x

\left[ {0,\;\,\frac{\pi }{2}} \right]

\left( {x,\,y} \right)

x,\,\,y \in \left[ {0,10} \right]

\left( {\sqrt {{{\sin }^2} - \sin \,\,x + \frac{1}{2}} } \right){2^{{{\sec }^2}y}}\,\, \cdot \,\, \le 1

\mathrm{X}

\theta \rightarrow \frac{\pi}{2}

\sin x+\cos x=\frac{\sqrt{7}}{2}

x \in\left[0, \frac{\pi}{4}\right]

\tan \frac{x}{2}

\tan \frac{\pi}{5}+2 \tan \frac{2 \pi}{5}+4 \cot \frac{4 \pi}{5}

0 < x < \pi

\cos x+\sin x=\frac{1}{2}

\tan x