Question
Prove that: $\left(\sin ^2 \mathrm{~A} \cos ^2 \mathrm{~B}-\cos ^2 \mathrm{~A} \sin ^2 \mathrm{~B}\right)=\sin ^2 \mathrm{~A}-\sin ^2 \mathrm{~B}$.
✓
Answer
Self
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Solving the following inequation, write the solution set and represent it on the number line. $-3(x-$ 7) $\geq 15-7 x >\frac{x+1}{3}, n \in R$
→Mrs. Gupta repays her total loan of Rs.$1,18,000$ by paying installments every month. If the installments for the first month is Rs. $1,000$ and it increases by Rs. $100$ every month, What amount will she pays as the $30^{th}$ installments of loan? What amount of loan she still has to pay after the $30^{th}$ installments
→The length of a shadow of a tower standing on a level plane is found to be 2y meters longer when the seen's altitude is 30° than when it was 45° prove that the height of the tower is y ( √3 + 1 ) meter.
If $\left[\begin{array}{cc}5 & 2 \\ -1 & y+1\end{array}\right]-2\left[\begin{array}{cc}1 & 2 x-1 \\ 3 & -2\end{array}\right]=\left[\begin{array}{cc}3 & -8 \\ -7 & 2\end{array}\right]$ Find the values of $x$ and $y$
→A rectangle having an area of $60 \mathrm{~cm}^2$ is transformed under enlargement about a point in space. If the area of its image is $135 \mathrm{~cm}^2$, find the scale factor of the enlargement.
→Prove that $\sin^4\theta - \cos^4\theta = \sin^2\theta - \cos^2\theta$
$= 2sin^2\theta - 1$
$= 1 - 2 \cos^2\theta$
→$= 2sin^2\theta - 1$
$= 1 - 2 \cos^2\theta$
In the given figure, $A O B$ is a diameter and $D C$ is parallel to $A B$. If $\angle C A B=x^0$; find (in terms of $x$ ) the values of: $\angle$ ADC.
→When $3 x^2-5 x+p$ is divided by $(x-2)$, the remainder is $3$ . Find the value of $p$. Also factorise the polynomial $3 x^2-5 x+p-$ 3.
→A (-1, 0), B (1, 3) and D (3, 5) are the vertices of a parallelogram ABCD. Find the co-ordinates of vertex C.
If the lines $2 x+3 y=5$ and $k x-6 y=7$ are parallel, then find the value of $k$.
→