Question
Evaluate the following:
$\sin\Big(\sin^{-1}\frac{7}{25}\Big)$

Answer

$\sin\Big(\sin^{-1}\frac{7}{25}\Big)=\frac{7}{25}$

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

If A and B are two independent events, then the probability of occurrence of at least one of A and B is given by 1- P(A')(P(B').
If a matrix has 8 elements, what are the possible orders it can have?
Find the intervals in which the function f given by $f(x) = x^2 – 4x + 6$ is
  1. increasing
  2. decreasing
Determine if f defined by $f\left( x \right) = \left\{ \begin{gathered} {x^2}\sin \frac{1}{x},if\,x \ne 0 \hfill \\ 0,\,if\,\,x = 0 \hfill \\ \end{gathered} \right.$ is a continuous function?
In Fig 10.6 (a square), identify the following vectors.
Equal.
System of simultaneous equations $kx + 2y - z = 1, (k - 1)y - 2z = 2$ and $(k + 2)z = 3$ have a unique solution, if $k$ is equal to :
Find $\overrightarrow{\text{a}}.(\overrightarrow{\text{b}}\times\overrightarrow{\text{c}}) , \text{ if } \overrightarrow{\text{a}} = 2\hat{\text{i}} + \hat{\text{j}} + 3 \hat{\text{k}} , \overrightarrow{\text{b}} = - \hat{\text{i}} + 2 \hat{\text{j} + \hat{\text{k}}} \text{ and } \overrightarrow{\text{c}} = 3 \hat{\text{i}} + \hat{\text{j}} + 2 \hat{\text{k}}.$
In the matrix $\text{A}=\begin{bmatrix}2&5 &19 &-7\\ 35 & -2 & \frac{5}{2} &12 \\ \sqrt{3} & 1 &-5 &17\\\end{bmatrix} $, write:
  1. The order of the matrix.
  2. The number of elements.
  3. write the elements $a_{13,}a_{21,}a_{24,}a_{23.}$
Using integration, find area of the bounded between the line $x = 2$ and the parabola $y^2 = 8x$.
Using principal value, evaluate the following:
$\cos^{-1}\Bigg(\cos\frac{2\pi}{3}\Bigg)+\sin^{-1}\Bigg(\sin\frac{2\pi}{3}\Bigg)$.