If $\tan \theta=\frac{1}{\sqrt{5}}$ and $\theta$ lies in the first quadrant, the value of $\cos \theta$ is :
$\sqrt{\frac{5}{6}}$
$-\sqrt{\frac{5}{6}}$
$\frac{1}{\sqrt{6}}$
$-\frac{1}{\sqrt{6}}$
If $F = \frac{2}{{\sin \,\theta + \sqrt 3 \,\cos \,\theta }}$, then minimum value of $F$ is
In the given figure, each box represents a function machine. A function machine illustrates what it does with the input.Which of the following statements is correct?
The slope of graph as shown in figure at points $1,2$ and $3$ is $m_1, m_2$ and $m_3$ respectively then
The area $'A'$ of a blot of ink is growing such that after $t$ second its area is given by $A = (3t^2 + 7)\,cm^2$. Calculate the rate of increase of area at $t = 2\, sec$. .......... $cm^2/s$
The greatest value of the function $-5 \sin \theta+12 \cos \theta$ is