Question
Prove : $\sin ^4 \theta-\cos ^4 \theta=1-2 \cos ^2 \theta$
✓
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
Find the mean from the following frequency distribution of marks at a test in statistics:
|
Marks (x)
|
5
|
10
|
15
|
20
|
25
|
30
|
35
|
40
|
45
|
50
|
|
No. of students (f)
|
15
|
50
|
80
|
76
|
72
|
45
|
39
|
9
|
8
|
6
|
How many two digit natural numbers are divisible by 5 ?
A farmer runs a pipe of internal diameter 20cm from the canal into a cylindrical tank in his field which is 10m in diameter and 2m deep. If water flows through the pipe at the rate of 3km/h, in how much time will the tank be filled?
Rain water, which falls on a flat rectangular surface of length $6\ m$ and breadth 4m is transferred into a cylindrical vessel of internal radius $20\ cm$. What will be the height of water in the cylindrical vessel if a rainfall of $1\ cm$ has fallen?
→The denominator of a fraction is 4 more than twice its numerator. Denominator becomes 12 times the numerator, if both the numerator and the denominator are reduced by 6. Find the fraction.
A bag contains 5 black, 7 red and 3 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is:
- Red.
- Black or white.
- Not black.
Pushpmala has invested Rs.24000 and purchased shares FV Rs.20 at a premium of Rs.4 Find the number of shares she purchased. Complete the given activity.
If $\text{cosec}\theta=2,$ show that $\Big(\cot\theta+\frac{\sin\theta}{1+\cos\theta}\Big)=2.$
→Three sets of English, Mathematics and Science books containing $336, 240$ and $96$ books respectively have to be stacked in such a way that all the books are stored subject wise and the higher of each stack is the same. How many stacks will be there?
→