Question
Prove : $\frac{\cos \theta}{1+\sin \theta}=\sec \theta-\tan \theta$
✓
Answer
Get the step-by-step solution for this question inside the Vidyadip app.
Get the answer in the appNeed 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
A building is in the form of a cylinder surmounted by a hemi-spherical vaulted dome and contains $41\Big(\frac{19}{21}\Big)\text{m}^3$ of air. If the internal diameter of dome is equal to its total height above the floor, find the height of the building?
→How many three digit natural numbers are divisible by 4 ?
Two-digit numbers are formed from the digits 0, 1, 2, 3. Repetition of the digits are allowed. Complete the following activity to find the probability that the number so formed is a prime number:
The sample space
$S$ = {______}$\quad$$\quad$$\therefore n(S)$=⬜
Let A be the event that the number so formed is a prime number.
$A=$ {______}$\quad$$\quad$$\therefore n(A)$=⬜
$P(A)=\frac{n(A)}{n(S)}$$\quad$$\quad$$\therefore P(A)$=$[-]$=$[-]$
→The sample space
$S$ = {______}$\quad$$\quad$$\therefore n(S)$=⬜
Let A be the event that the number so formed is a prime number.
$A=$ {______}$\quad$$\quad$$\therefore n(A)$=⬜
$P(A)=\frac{n(A)}{n(S)}$$\quad$$\quad$$\therefore P(A)$=$[-]$=$[-]$
In the natural numbers from 10 to 250, how many are divisible by 4?
In given fig. tangents PQ and PR are drawn from an external point to a circle with centre O, such that $\angle\text{RPQ}=30^{\circ}$. A chord RS is drawn parallel to the tangent PQ.Find $\angle\text{RQS}$
→The dimensions of a cuboid are 44 cm, 21 cm, 12 cm. It is melted and a cone of height 24 cm is made. Find the radius of its base.
Hamid purchased some educational stationary and paid GST of Rs.1800. He sold all educational stationary Nishaben and collected GST of Rs.2100. Find the GST CGST and SGST to be paid
In a $\triangle\text{ABC,D}\ \text{and E}$ are points on the sides AB and AC respectively such that DE || BC.If AD = 8x - 7, DB = 5x - 3, AE = 4x - 3 and EC = (3x - 1), find the value of x.
→In figure 3.83, M is the centre of the circle and seg KL is a tangent segment.
If MK = 12, KL = $6\sqrt3$then find -
(1) Radius of the circle.
(2) Measures of ∠ K and ∠ M.
→If MK = 12, KL = $6\sqrt3$then find -
(1) Radius of the circle.
(2) Measures of ∠ K and ∠ M.