Advertisements
Advertisements
प्रश्न
The value of \[\cos1^\circ \cos2^\circ \cos3^\circ . . . \cos179^\circ\] is
विकल्प
- \[\frac{1}{\sqrt{2}}\]
0
1
-1
Advertisements
उत्तर
\[\cos1^\circ \cos2^\circ \cos3^\circ . . . \cos179^\circ\]
\[ = \cos1^\circ \cos2^\circ \cos3^\circ . . . \cos90^\circ . . . \cos179^\circ\]
\[ = 0 \left( \cos90^\circ = 0 \right)\]
Hence, the correct answer is option 0.
APPEARS IN
संबंधित प्रश्न
Find the principal and general solutions of the equation `tan x = sqrt3`
Find the general solution of the equation cos 4 x = cos 2 x
Find the general solution of the equation sin x + sin 3x + sin 5x = 0
If \[cosec x - \sin x = a^3 , \sec x - \cos x = b^3\], then prove that \[a^2 b^2 \left( a^2 + b^2 \right) = 1\]
If \[T_n = \sin^n x + \cos^n x\], prove that \[6 T_{10} - 15 T_8 + 10 T_6 - 1 = 0\]
Prove that:
\[\frac{\cos (2\pi + x) cosec (2\pi + x) \tan (\pi/2 + x)}{\sec(\pi/2 + x)\cos x \cot(\pi + x)} = 1\]
Prove that:
\[\sin \frac{13\pi}{3}\sin\frac{2\pi}{3} + \cos\frac{4\pi}{3}\sin\frac{13\pi}{6} = \frac{1}{2}\]
Prove that:
If sec \[x = x + \frac{1}{4x}\], then sec x + tan x =
sin6 A + cos6 A + 3 sin2 A cos2 A =
If \[cosec x - \cot x = \frac{1}{2}, 0 < x < \frac{\pi}{2},\]
Find the general solution of the following equation:
Find the general solution of the following equation:
Find the general solution of the following equation:
Solve the following equation:
Solve the following equation:
Solve the following equation:
Solve the following equation:
Solve the following equation:
Solve the following equation:
\[\sin x + \cos x = \sqrt{2}\]
Solve the following equation:
\[\sqrt{3} \cos x + \sin x = 1\]
Solve the following equation:
4sinx cosx + 2 sin x + 2 cosx + 1 = 0
If cos x = k has exactly one solution in [0, 2π], then write the values(s) of k.
Write the number of values of x in [0, 2π] that satisfy the equation \[\sin x - \cos x = \frac{1}{4}\].
If \[\cos x + \sqrt{3} \sin x = 2,\text{ then }x =\]
If \[e^{\sin x} - e^{- \sin x} - 4 = 0\], then x =
General solution of \[\tan 5 x = \cot 2 x\] is
Solve the following equations for which solution lies in the interval 0° ≤ θ < 360°
cos 2x = 1 − 3 sin x
Solve the following equations:
sin 2θ – cos 2θ – sin θ + cos θ = θ
Solve the following equations:
cot θ + cosec θ = `sqrt(3)`
Solve the following equations:
cos 2θ = `(sqrt(5) + 1)/4`
Solve the following equations:
2cos 2x – 7 cos x + 3 = 0
If 2sin2θ = 3cosθ, where 0 ≤ θ ≤ 2π, then find the value of θ.
The minimum value of 3cosx + 4sinx + 8 is ______.
