The value of ^2 ( ^ -1 2 )+cosec^2 ( ^ -1 3 ) is _______ - Vidyadip

Question

The value of $\sec ^2\left(\tan ^{-1} 2\right)+\operatorname{cosec}^2\left(\cot ^{-1} 3\right)$ is _______

✓

Answer

15

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 "Fill In The Blanks[1 Marks ]" from Inverse Trigonometric Functions→Inverse Trigonometric Functions — all question types→MATHS STD 12 Science question papers→Rajasthan Board STD 12 Science question papers→Rajasthan Board question paper generator→

Similar questions

The position vectors of two points A and B are $\overrightarrow{\text{OA}}=2\hat{\text{i}}-\hat{\text{j}}-\hat{\text{k}}$ and $\overrightarrow{\text{OB}}=2\hat{\text{i}}-\hat{\text{j}}-2\hat{\text{k}},$ respectively. The position vector of a point P which divides the line segment joining A and B in the ratio 2 : 1 is ___________.

If $y=t^{10}+1$, and $x=t^8+1$, then $\frac{d^2 y}{d x^2}=$ __________ .

If $y=\sin x^0$ and $\frac{d y}{d x}=k \cos x^0$, then $k=$ _________ .

Fill in the blanks.
The vector equation of the line through the points (3, 4, -7) and (1, -1, 6) is __________.

Fill in the blank. In applying one or more row operations while finding $A^{-1}$ by elementary row operations, we obtain all zeros in one or more, then $A^{-1}........$

Fill in the blanks.
The values of k for which $|\text{k}\vec{\text{a}}|<|\vec{\text{a}}|$ and $\text{k}\vec{\text{a}}=\frac{1}{2}\vec{{\text{a}}}$ is a parallel to $\vec{\text{a}}$ holds true are _________.

Fill in the blanks:
Derivative of $x^2 \ w.r.t. \ x^3$ is $....$

Fill in the blank.
_________ matrix is both symmetric and skew symmetric matrix.

Fill in the blanks.
The integrating factor of $\frac{\text{dy}}{\text{dx}}+\text{y}=\frac{1+\text{y}}{\text{x}}$ is ________.

For set A , relation R is defined by ________ if every $a \in A,(a, a) \in R$.