Evaluate the following: cosec^ -1 (cosec 4 ) - Vidyadip

Question

Evaluate the following:
$\text{cosec}^{-1}\Big(\text{cosec}\frac{\pi}{4}\Big)$

✓

Answer

$\text{cosec}^{-1}\Big(\text{cosec}\frac{\pi}{4}\Big)$
$=\text{cosec}^{-1}\big(\sqrt2\big)$
$=\frac{\pi}{4}$

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 "1 Marks Question" from Inverse Trigonometric Functions→Inverse Trigonometric Functions — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

How many number of arbitrary constants in the general solution of a differential equation of fourth order.

Show that the function defined by $g(x) = x - \left[ x \right]$ is discontinuous at all integral points. Here [x] denotes the greatest integer less than or equal to x.

If A and B are two independent evets, then write $\text{P}(\text{A}\cap\overline{\text{B}})$ in terms of P(A) and P(B).

Classify the following as scalar and vector quantities.
Time period.

Prove that the function $f(x) = {x^n}$ is continuous at x = n where n is a positive integer.

If the function $f(x)=\left\{\begin{array}{cc}2 x+1 & , x \neq 2 \\ 3 \lambda & , x=2\end{array}\right.$, is continuous at $x=2$, then find the value of $\lambda$.

Write $\overrightarrow{\text{PQ}}+\overrightarrow{\text{RP}}+\overrightarrow{\text{QR}}$ in the simplified form.

Evaluate the determinant $\left|\begin{array}{cc} {\cos \theta} & {-\sin \theta} \\ {\sin \theta} & {\cos \theta} \end{array}\right|$

Evaluate: $\int\cos^{-1}(\sin\ x)\ \text{d}x.$

If $(2\ \ 1\ \ 3) \begin{pmatrix} -1 & 0 & -1 \\ -1 & 1 & 0 \\ 0 & 1 & 1 \end{pmatrix} \begin{pmatrix} 1 \\ 0 \\ -1 \end{pmatrix} = \text{A},$ then write the order of matrix A.