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\( \sin^2 \dfrac{\pi}{40}+\sin^2 \dfrac{2 \pi}{40}+\sin^2\dfrac{3\pi}{40}+…+ \sin^2\dfrac{20 \pi}{40} \) is equal to_____
Find \( \dfrac{\cos (90+A)\cdot\sec (360A)\cdot \tan (180A)}{\sec (A720)\cdot \sin (A+540)\cot (A90)}\)
If \(x=y \cos \dfrac{2\pi}{3}= z \cos \dfrac{4\pi}{3} \), find \(xy+yz+zx \)
If \( \sin (A+BC)=\cos (A+CB)=\tan (B+CA)=1\), then \(A+B+C \).
\(\dfrac{\tan A +\sec A1}{\tan Asec A+1} \) is equal to______
If \( \tan x=\dfrac{b}{a}\), find the value of \(\sqrt{\dfrac{a+b}{ab}}+\sqrt{\dfrac{ab}{a+b}} \)
Given,
If \( a \cos \theta +b \sin \theta=m\) and \(a \sin \thetab\cos \theta =n \), then find \( m^2+n^2 \).
Find the value of \( \tan 22^o 30’\)?
Let
Solve : \(4 \sin A \cos^3 A4 \cos A \sin^3 A \).
If \( \tan \theta +\sin \theta=m, \quad \tan \theta\sin \theta=n\), find \( m^2n^2\).
If \(\tan (A+B)= P \) and \(\tan (AB)=q\), then \(\tan 2A \) is equal to______
If \(\cos \alpha+\cos \beta=0=\sin \alpha +\sin \beta \), then find \( \cos 2 \alpha+\cos 2 \beta\)?
If \( \dfrac{\sin (x+y)}{\sin (xy)}=\dfrac{a+b}{ab} \), then find \( \dfrac{\tan x}{\tan y}\)
If \( \sin \theta +\cos \theta=1\), then find the general value of \( \theta\).
If \(\cot \theta+\tan \theta=2 \csc \theta \), then find the general value of \( \theta\).
If \( \sec x \cos 5x+1=0\), where \( 0 \) < \( x \leq \dfrac{\pi}{2} \) , find the value of \( x \).
Either or
OR
Hence , all are solutions of the given equation.
If \( \cos (\theta+ \phi)=m\cos (\theta\phi)\), find \(\tan \theta \).
Solve:\( 3 \left[ \sin^4 \left( \dfrac{3 \pi}{2}\alpha \right)+\sin^4(3\pi +\alpha) \right]2 \left[ \sin^6\left( \dfrac{\pi}{2}+\alpha \right)+\sin^6(5\pi\alpha) \right]\)
If \( a\cos 2 \theta+b \sin 2 \theta=c\) have roots \( \tan \alpha \text { and } \tan \beta\), then find \( \tan \alpha +\tan \beta\).
Since and are roots of the above equations, then
Find the general solution of the equation \(5 \cos^2 \theta+7\sin^2 \theta6=0\).
Find the general solution of the equation \( \sin x3 \sin 2x+\sin 3x =\cos x3 \cos 2x +\cos 3x\).
If \( \sin \theta +\csc \theta=2\), then \(\sin^2 \theta+\csc^2\theta \) is equal to_____
If \( \tan \theta=\dfrac{1}{2} \text { and } \tan \phi=\dfrac{1}{3}\), then the value of \(\theta+\phi \) is_____
Solve: \(\tan 1^o\tan2^o\tan3^o…\tan 89^o\)
Solve: \(\dfrac{1\tan^2 15^o}{1+\tan^2 15^o} \)
Here