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Mathematics
Trigonometric equations and inequations
Find the maximum integral value of ‘a’ for which the equation $asinx + cos2x = 2a - 7$ has a solution?

Mathematics
Trigonometric equations and inequations
In which of the following sets the inequality $\sin^{6}x + \cos^{6}x > \dfrac{5}{8}$ holds good ?
A. $\left( - \dfrac{\pi}{8},\dfrac{\pi}{8} \right)$
B. $\left( \dfrac{3\pi}{8},\dfrac{5\pi}{8} \right)$
C. $\left( \dfrac{\pi}{4},\dfrac{3\pi}{4} \right)$
D. $\left( \dfrac{7\pi}{8},\dfrac{9\pi}{8} \right)$

Mathematics
Trigonometric equations and inequations
Solve the equation $\cos 5x = \sin x$?

Mathematics
Trigonometric equations and inequations
How do you solve $3{\cos ^2}x + 5\sin x - 1 = 0$ ?
Mathematics
Trigonometric equations and inequations
What is the solution of the equation $5\cos 2x + 1 = 3\cos 2x$ ?
Mathematics
Trigonometric equations and inequations
How do you solve $\tan x + \cot x - 2 = 0$?
Mathematics
Trigonometric equations and inequations
Solve the following for $x$:
$3{\tan ^{ - 1}}\left( x \right) + {\cot ^{ - 1}}\left( x \right) = \pi$
Mathematics
Trigonometric equations and inequations
Find the general solution of $\tan 2x = 0$ .
Mathematics
Trigonometric equations and inequations
Find general solution for secx = 2

Mathematics
Trigonometric equations and inequations
Find the general solution for tanx = $\sqrt{3}$

Mathematics
Trigonometric equations and inequations
Find the general solution for ${{\sec }^{2}}2x=1-\tan 2x$
Mathematics
Trigonometric equations and inequations
Find the general solution of sin2x + cosx = 0

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