| 2022-10-31 | Prove that \( \tan 22^{\circ}+\tan 23^{\circ}+\tan 22^{\circ} \tan 23^{\circ}=1 \). |
| 2022-10-31 | Evaluate
\[
\sin ^{2}\left(\frac{\pi}{8}+\frac{x}{2}\right)-\sin ^{2}\left(\frac{\pi}{8}-\frac{x... |
| 2022-10-31 | If \( \sin A=\frac{1}{\sqrt{5}} \) and \( \cos B=\frac{3}{\sqrt{10}} \), where \( A, B \) are po... |
| 2022-10-31 | If \( \cos A=\frac{1}{7} \) and \( \cos B=\frac{13}{14} \) and \( A, B \) lie in first quadrant,... |
| 2022-10-31 | Evaluate \[ \cos ^{2}\left(\frac{\pi}{4}+x\right)-\sin ^{2}\left(\frac{\pi}{4}-x\right) \] |
| 2022-10-31 | Prove that: \[ \sqrt{2} \cos \left(\frac{\pi}{4}+x\right)=\cos x-\sin x \] |
| 2022-10-31 | Show that: \[ \frac{\tan 69^{\circ}+\tan 66^{\circ}}{1-\tan 69^{\circ} \tan 66^{\circ}}=-1 \] |
| 2022-10-31 | If \( A=\{1,2,3,4\} \) and \( B=\{5,7,9\} \), find Is \( n(\mathrm{~A} \times \mathrm{B})=n(\mat... |
| 2022-10-31 | Prove that: \[ \sin (x-y) \cos x-\cos (x-y) \sin x=-\sin y \] |
| 2022-10-31 | Show that:
\[
\sin \frac{7 \pi}{12} \cos \frac{\pi}{4}-\cos \frac{7 \pi}{12} \sin \frac{\pi}{4}=... |
| 2022-10-31 | If \( A=\{-3,-1,0,4\} \) and \( B=\{-1,0,1,2,3\} \), then write the number of elements in each o... |
| 2022-10-31 | If \( A=\{-3,-1,0,4\} \) and \( B=\{-1,0,1,2,3\} \), then write the number of elements in each o... |
| 2022-10-31 | If \( A=\{-3,-1,0,4\} \) and \( B=\{-1,0,1,2,3\} \), then write the number of elements in each o... |
| 2022-10-31 | If \( \mathrm{A}=\{-3,-1,0,4\} \) and \( \mathrm{B}=\{-1,0,1,2,3\} \), then write the number of ... |
| 2022-10-31 | If \( \mathrm{A} \) is a set such that \( n(\mathrm{~A})=3 \) and \( \mathrm{B}=\{3,4,5\} \), th... |
| 2022-10-31 | If \( n(\mathrm{~A})=2 \) and \( \mathrm{B}=\{-1,0,3\} \), then what is number of elements in \(... |
| 2022-10-31 | Find \( x \) and \( y \) if \[ (x-y, x+y)=(6,10) \] |
| 2022-10-31 | Find \( x \) and \( y \) if \[ (2 x+y, x-y)=(8,3) \] |
| 2022-10-31 | Find \( a \) and \( b \) if \[ (a+1, b-2)=(3,1) \] |
| 2022-10-31 | Find \( a \) and \( b \) if \[ (a+b, 3 b-2)=(7,-5) . \] |
| 2022-10-31 | On the real axis, if \( \mathrm{A}=(0,3] \) and \( \mathrm{B}=[2,6] \), then write the following... |
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