JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

1 Easy

1 of 1

Application +4 | -1

\sin \,\,\left( {\pi \,\,\cos \,\,\theta } \right) = \cos \,\,\left( {\pi \,\,\sin \,\,\theta } \right)

, then the value of

\cos \,\,\left( {\theta + \frac{\pi }{4}} \right)

equals

View answer and explanation

Correct option: B

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

Option B (

\frac{1}{2\sqrt 2 }

) is correct because by using trigonometric identities, the equation simplifies to

\cos(\theta + \frac{\pi}{4}) = \frac{1}{2\sqrt 2 }

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]

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\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