New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Trigonometric Ratio and Identites question

2021 · 26 Aug · Shift 2 · Q33

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Trigonometric Ratio and Identites
2021 · 26 Aug · Shift 2 · Q33

Trigonometric Ratio and Identites question

2021 · 26 Aug · Shift 2 · Q33

JEE MainMathematicsTrigonometric Ratio and IdentitesMCQ+4 / −1

The value of

2\sin \left( {{\pi \over 8}} \right)\sin \left( {{{2\pi } \over 8}} \right)\sin \left( {{{3\pi } \over 8}} \right)\sin \left( {{{5\pi } \over 8}} \right)\sin \left( {{{6\pi } \over 8}} \right)\sin \left( {{{7\pi } \over 8}} \right)

is :

A
${1 \over {4\sqrt 2 }}$
B
${1 \over 4}$
C
${1 \over 8}$
D
${1 \over {8\sqrt 2 }}$

More from Trigonometric Ratio and Identites

The number of integral values of 'k' for which the equation $3 sin x + 4 cos x = k + 1$ has a solution, k $\in$ R is .2021 · Numerical
If $sin θ + cos θ = \frac{1}{2}$ , then 16(sin(2 $θ$ ) + cos(4 $θ$ ) + sin(6 $θ$ )) is equal to :2021 · MCQ
If $tan (\frac{π}{9}), x, tan (\frac{7 π}{18})$ are in arithmetic progression and $tan (\frac{π}{9}), y, tan (\frac{5 π}{18})$ are also in arithmetic…2021 · MCQ
If the equation cos4 $θ$ + sin4 $θ$ + $λ$ = 0 has real solutions for $θ$ , then $λ$ lies in the interval :2020 · MCQ
If L = sin2 $(\frac{π}{16})$ - sin2 $(\frac{π}{8})$ and M = cos2 $(\frac{π}{16})$ - sin2 $(\frac{π}{8})$ , then :2020 · MCQ
If $\frac{2 s i n α}{1 + c o s 2 α} = \frac{1}{7}$ and $\frac{1 - c o s 2 β}{2} = \frac{1}{10} α, β \in (0, \frac{π}{2})$ then tan( $α$ + 2 $β$ ) is…2020 · Numerical
The value of $cos^{3} (\frac{π}{8}) cos (\frac{3 π}{8})$ + $sin^{3} (\frac{π}{8}) sin (\frac{3 π}{8})$ is :2020 · MCQ
If $x = n = 0 \sum \infty (- 1)^{n} tan^{2 n} θ$ and $y = n = 0 \sum \infty cos^{2 n} θ$ for 0 < $θ$ < $\frac{π}{4}$ , then :2020 · MCQ