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.

Start Generating Free

Similar questions

All the three face cards of spades are removed from a well shuffled pack of 52 cards. A card is then drawn at random from the remaining pack. Find the probability of getting : a black card
In a race between Mahesh and John, the probability that John will lose the race is 0.54. Find the probability of:
(i) winning of Mahesh
(ii) winning of John
A jar contains 24 marbles, some are green and others are blue. If a marble is drawn at random from the jar, the probability that it is green is $\frac{2}{3}$. Find the number of blue marbles in the jar.
In the figure, $O$ is the centre of the circle and the length of arc $AB$ is twice the length of arc $BC.$ If angle $AOB = 108^\circ,$ find $: \angle CAB$
​​​​​​​
A straight line passes through the points $P (-1, 4)$ and $Q (5, -2)$. It intersects the co-ordinate axes at points A and B. M is the mid-point of the segment AB . Find:

(i) The equation of the line
(ii) The co-ordinates of A and B.
(iii) The co-ordinates of M.

For the following, find the amount of bill data :
 

Rate per piece (in Rs.) Number of pieces Discount % GST%
18 360 10 12
12 480 20 18
12 120 5 12
28 150 20 28
Total volume of three identical cones is the same as that of a bigger cone whose height is $9$ cmand diameter $40 cm.$ Find the radius of the base of each smaller cone, if height of each is $108cm$
if $\left(a^2+b^2\right)\left(x^2+y^2\right)= (ax + by)^2 ;$ prove that $\frac{a}{x}=\frac{b}{y}$
What least number be subtracted from each of the numbers 7, 17 and 47 so that the remainders are in continued proportion?
Solve the following equation by using quadratic equations for x and give your 5x(x + 2) = 3