Question
Very-Short and Short-Answer Qustions:
Write the value of $\frac{\tan^2\theta-\sec^2\theta}{\cot^2\theta-\text{cosec}^2\theta}.$
✓
Answer
$\frac{\tan^2\theta-\sec^2\theta}{\cot^2\theta-\text{cosec}^2\theta}$
$=\frac{-1}{-1}$ $\big(1+\tan^2\theta=\sec^2\theta$ and $1+\cot^2\theta=\text{cosec}^2\theta\big)$
$=1$
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
The $HCF$ of two numbers is $145$ and their $LCM$ is $2175.$ If one number is $725,$ find the other.
→Find the $n^{th}$ term of the following $APs$:
$16, 9, 2, -5,....$
→$16, 9, 2, -5,....$
In the following figures, you find who triangles. Indicate whether the triangles are similar. Give reasons in support of your answer.
A card is drawn at random from a pack of $52$ cards. Find the probability that the card drawn is:
Neither a red card nor a queen.
→Neither a red card nor a queen.
Find:
The $35^{th}$ term of the $AP$ $20, 17, 14, 11, ....$
→The $35^{th}$ term of the $AP$ $20, 17, 14, 11, ....$
What is the area of a square inscribed in a circle of diameter $p\ cm$?
→The following are quadratic equations in $x?$
$\text{x}^2-3\text{x}-\sqrt{\text{x}}+4=0$
→$\text{x}^2-3\text{x}-\sqrt{\text{x}}+4=0$
There are $30$ cards, of same size, in a bag on which numbers $1$ to $30$ are written. One card is taken out of the bag at random. Find the probability that the number on the selected card is not divisible by $3.$
→The $17th$ term of an $AP$ exceeds its $10th$ term by $7$. Find the common difference.
→Use Euclid's division algorithm to find the $HCF$ of:
$196$ and $38220$
→$196$ and $38220$