Download App

Trigonometrical Identities — Mathematics STD 10 — Question

ICSE BoardEnglish MediumSTD 10MathematicsTrigonometrical Identities2 Marks
Question
Prove.
$1-\frac{\cos ^2 A}{1+\sin A}=\sin A$
✓

Answer

$\text { LHS }=1-\frac{\cos ^2 A}{1+\sin A}$
$ =\frac{1+\sin A-\cos ^2 A}{1+\sin A}$
$=\frac{\sin A+\sin ^2 A}{1+\sin ^2 A}$
$ =\frac{\sin A(1+\sin A)}{1+\sin A} $
$ =\sin A=\text { RHS }$

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

Explore more

More "[2 Mark Question Answer]" from Trigonometrical Identities→Trigonometrical Identities — all question types→Mathematics STD 10 question papers→ICSE Board STD 10 question papers→ICSE Board question paper generator→

Similar questions

Solve for x: 5x - 9 ≤ 15 - 7x , x ∈ W
→
How many balls each of radius $1 cm$ can be made by melting a bigger ball whose diameter is $8cm.$
→
Which of the following are in arithmetic progression

5, 9, 12, 18

→
In a single throw of a die, find the probability that the number : will be an even number.
→
A man starts repaying a loan as first instalment of $Rs 500$. If he increases the instalment by Rs $25$ every month, what,amount will he pay in the 30th instalment?
→
Nine cards (identical in all respects) are numbered 2 to 10. A card is selected from them at random. Find the probability that the card selected will be : an even number and a multiple of 3
→
Find the midpoint of the line segment joining the following pair of point :
$( -3, 5)$ and $(9, -9)$
→
Given $A=\left[\begin{array}{ll}1 & 4 \\ 2 & 3\end{array}\right]$ and $B=\left[\begin{array}{l}-4-1 \\ -3-2\end{array}\right]$ Find the matrix $C$ such that $C + B = \left[\begin{array}{ll}0 & 0 \\ 0 & 0\end{array}\right]$
→
Three coins are tossed together. Write all the possible outcomes. Now, find the probability of getting  all tails
→
Graph the solution sets of the following inequalities:
3x - 5 ≤ - 7, x ∈ I.
→