Question
Prove : $\cos ^2 \theta+\frac{1}{1+\cot ^2 \theta}=1$

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

If the point $P(k - 1, 2)$ is equidistant from the points $A(3, k)$ and $B(k, 5)$, find the values of $k$.
If PA and PB are tangents from an outside point P such that PA = 10cm and $\angle\text{APB}=60^{\circ}.$ Find the length of chord AB.
For the following, find a quadratic polynomial whose sum and product respectively of the zeroes are as given. Also, find the zeroes of these polynomials by factorization.
$\frac{21}{8},\frac{5}{16}$
Draw a circle of radius 3.3 cm Draw a chord PQ of length 6.6 cm. Draw tangents to the circle at points P and Q. Write your observation about the tangents.
Solve the following quadratic equations by factorization:$x^2 - x - a(a + 1) = 0$
Prove that in an equilateral triangle, three times the square of a side is equal to four times the square of its altitudes.
Two right circular cylinders of equal volumes have their heights in the ratio $1 : 2$. What is the ratio of their radii?
Kalpana saves some amount every month. In first three months she saves $Rs.100,$
$Rs.150$ and $Rs.200$ respectively. In how many months will she save $Rs.1200?$
Activity :- Kalpana’s monthly saving is $Rs.100,Rs.150,Rs.200........Rs.1200$
Here $d=50.$Therefore this sequence is an A.P.
$a=10, d=50,$ $t _{ n }$___$ n=?$
$t _{ n }= a+(n-1)$____
_____$= 100+(n-1)\times 50$
$\frac{\square}{50}=n-1$
$n=\square$
therefore, she saves $Rs.1200$ in ____ months.
Find the distance between the points:
$P(a + b, a - b)$ and $Q(a - b, a + b)$
How many terms of the sequence $18, 16, 14, .....$ should be taken so that sum is zero?