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Solve: \( \sqrt{\dfrac{1\sin 2A}{1+\sin 2A}} \)
Solve: \( \sqrt{\dfrac{1+ \sin 2A}{1\sin 2A}}\)
Solve : \(\sqrt{\dfrac{1+\cos 2A}{1 \cos 2A}} \)
Solve: \( \sqrt{\dfrac{1 \cos^2 A}{1+ \cos^2 A}}\)
If \( a=\dfrac{\cos \alpha}{\cos \beta}, \quad b\dfrac{\sin \alpha}{\sin \beta}\), then find the value of \( \sin^2 \beta\).
If \(\tan \alpha=\dfrac{m}{m+1} \text { and } \tan \beta=\dfrac{1}{2m+1} \), then \( \alpha +\beta \) is equal to____
The minimum value of \(3 \cos x+4\sin x+8\) is_____
( Say)
Minimum value of
The minimum value of is
The value of \( \tan 3A\tan 2A\tan A\) is______
Let
The value of \(\sin (45^o+\theta)\cos (45^o\theta) \) is____
The value of \( \cot \left( \dfrac{\pi}{4}+\theta \right) \cot \left( \dfrac{\pi}{4}\theta \right)\) is______
\(\cos 2 \theta\cdot \cos2\phi+\sin^2 (\theta\phi)\sin^2 (\theta+ \phi) \) is equal to_______
If \(\tan A=\dfrac{1}{2} \) and \( \tan B=\dfrac{1}{3}\), then \(\tan (2A+B) \) is equal to____
The value of \( \sin \dfrac{\pi}{10} \sin \dfrac{13 \pi}{10}\) is______
The value of \(\sin 50^o\sin 70^o +\sin 10^o \) is____
If \( \sin \theta+\cos \theta=1\), then find \( \sin2\theta\).
If \( \alpha +\beta =\dfrac{\pi}{4}\), then find \((1+\tan \alpha)(1+\tan \beta) \).
Solve: \( \sin \dfrac{\pi}{18}+\sin \dfrac{\pi}{9}+\sin \dfrac{2\pi}{9}+\sin \dfrac{5 \pi}{18}\)
If \(\sin \theta=\dfrac{4}{5} \) and \( \theta\) lies in third quadrant, then the value of \( \cos \dfrac{\theta}{2}\) is_____
The value of \( \cos^2 48^o\sin ^2 12^o\) is_____
If \( \tan \theta=\dfrac{a}{b}\), then \( b \cos 2 \theta+a \sin 2 \theta\) is______
Solve:\(\dfrac{\sin 50^o}{\sin 130^o} \)
If \( \tan A=\dfrac{1\cos \theta}{ \sin \theta}\), then \(\tan 2A \) is_____
If \(K=\sin \left( \dfrac{\pi}{18} \right)\sin \left( \dfrac{5\pi}{18} \right) \sin \left( \dfrac{7 \pi}{18} \right) \), then find the value of \( K \).
If \( \tan \theta+\tan 2 \theta +\sqrt{3} \tan \theta \cdot \tan 2 \theta=\sqrt{3}\), then \(\theta \) is equal to_____
If \(\tan (\pi \cos \theta)=\cot (\pi\sin \theta) \), then \( \cos \left( \theta\dfrac{\pi}{4} \right)\) is equal to____