Question
Prove the following.
sec2θ + cosec2θ = sec2θ × cosec2θ

Answer

Get the step-by-step solution for this question inside the Vidyadip app.

Get the answer in the app

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

The table below gives the ages of 120 drivers of cars involved in accidents during a certain year. Complete the table and draw a pie diagram.

Age of driver (in years)

Number of drivers

Central angle

Under 20

25

75°

20 – 40

50

_____

40 – 60

35

105°

Over 60

10

30°

In the given figure, $\triangle\text{ACB}\sim\triangle\text{APQ}.$ If BC = 10cm, PQ = 5cm, BA = 6.5cm and AP = 2.8cm, find CA and AQ. Also, find the area$ (\triangle\text{ACB)}$ : area $ (\triangle\text{APQ)}.$
The line segment joining the points (3, -4) and (1, 2) is trisected at the points P and Q. If the coordinates of P and Q are (p, -2) and $\Big(\frac{5}{3},\text{q}\Big)$ respectively. Find the values of p and q.
Find the distance between the points:
$P(a + b, a - b)$ and $Q(a - b, a + b)$
The areas of two similar triangles are $81\ cm^2$ and $49\ cm^2$ respectively. Find the ratio of their corresponding heights. What is the ratio of their corresponding medians?
D and E are points on the sides AB and AC respectively of a $\triangle\text{ABC}.$ In the following cases, determine whether DE || BC or not.
AB = 10.8cm, AD = 6.3cm, AC = 9.6cm and EC = 4cm.
Show that the quadrilateral whose vertices are (2, -1), (3, 4) (-2, 3) and (-3, -2) is a rhombus.
Prove that:
$\cot\theta\tan(90^\circ-\theta)-\sec(90^\circ-\theta)\text{cosec }\theta\\+\sqrt{3}\tan12^\circ\tan60^\circ\tan78^\circ=2$
The difference between the roots of the equation $x^2-13 x+\mathrm{k}=0$ is 7 find $\mathrm{k}$.
Solve the following quadratic equation:$4\sqrt6\text{x}^2-\text{13x}-2\sqrt6=0$