$\sin 4\theta $ can be written as
$\sin 4\theta $ can be written as
- A
$4\sin \theta (1 - 2{\sin ^2}\theta )\sqrt {1 - {{\sin }^2}\theta } $
- B
$2\sin \theta \cos \theta {\sin ^2}\theta $
- C
$4\sin \theta - 6{\sin ^3}\theta $
- D
None of these
Similar Questions
If a $cos^3 \alpha + 3a \,cos\, \alpha \, sin^2\, \alpha = m$ and $asin^3\, \alpha + 3a \, cos^2\, \alpha \,sin\, \alpha = n$ . Then $(m + n)^{2/3} + (m - n)^{2/3}$ is equal to :
If a $cos^3 \alpha + 3a \,cos\, \alpha \, sin^2\, \alpha = m$ and $asin^3\, \alpha + 3a \, cos^2\, \alpha \,sin\, \alpha = n$ . Then $(m + n)^{2/3} + (m - n)^{2/3}$ is equal to :
If $a\tan \theta = b$, then $a\cos 2\theta + b\sin 2\theta = $
If $a\tan \theta = b$, then $a\cos 2\theta + b\sin 2\theta = $
$\cos \frac{\pi }{7}\cos \frac{{2\pi }}{7}\cos \frac{{3\pi }}{7} =$
$\cos \frac{\pi }{7}\cos \frac{{2\pi }}{7}\cos \frac{{3\pi }}{7} =$
If $\alpha + \beta + \gamma = 2\pi ,$ then
If $\alpha + \beta + \gamma = 2\pi ,$ then
- [IIT 1979]
Prove that $\frac{\sin x-\sin 3 x}{\sin ^{2} x-\cos ^{2} x}=2 \sin x$
Prove that $\frac{\sin x-\sin 3 x}{\sin ^{2} x-\cos ^{2} x}=2 \sin x$