MCQ
If $A = 130^\circ $ and $x = \sin A + \cos A,$ then
  • $x > 0$
  • B
    $x < 0$
  • C
    $x = 0$
  • D
    $x \le 0$

Answer

Correct option: A.
$x > 0$
a
(a) $x = \cos 40^\circ + \cos 130^\circ $

$= 2\cos 85^\circ \cos 45^\circ > 0$.

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 $\left({ }^{30} C _1\right)^2+2\left({ }^{30} C _2\right)^2+3\left({ }^{30} C _3\right)^2+\ldots \ldots+30\left({ }^{30} C _{30}\right)^2=$ $\frac{\alpha 60 !}{(30 !)^2}$, then $\alpha$ is equal to
If $x$ denotes the number of sixes in four consecutive throws of a dice, then $P\,(x = 4)$ is
Let a random variable $X$ have a binomial distribution with mean $8$ and variance $4$. If $P\left( {X \le 2} \right) = \frac{k}{{{2^{16}}}}$,  then $k$ is equal to
Let $f(x)$ and $g(x)$ be two functions satisfying $f\left(x^{2}\right)$ $+g(4-x)=4 x^{3}$ and $g(4-x)+g(x)=0$, then the value of $\int_{-4}^{4} f(x)^{2} d x$ is
The displacement of a particle in time $ t$  is given by $s = 2{t^2} - 3t + 1$. The acceleration is
If ${a_1},\,{a_2},....,{a_{n + 1}}$ are in $A.P.$, then $\frac{1}{{{a_1}{a_2}}} + \frac{1}{{{a_2}{a_3}}} + ..... + \frac{1}{{{a_n}{a_{n + 1}}}}$ is
A curve passes through the point $\left(1, \frac{\pi}{6}\right)$. Let the slope of the curve at each point $(x, y)$ be $\frac{y}{x}+\sec \left(\frac{y}{x}\right)$, $x>0$. Then the equation of the curve is
The mean and variance of $7$ observations are $8$ and $16,$ respectively. If five observations are $2, 4, 10,12,14,$ then the absolute difference of the remaining two observations is 
In an examination,$5$ students have been allotted their seats as per their roll numbers. The number of ways, in which none of the students sits on the allotted seat, is $..........$.
If the line, $2 x-y+3=0$ is at a distance $\frac{1}{\sqrt{5}}$ and $\frac{2}{\sqrt{5}}$ from the lines $4 x-2 y+\alpha=0$ and $6 x-3 y+\beta=0,$ respectively, then the sum of all possible values of $\alpha$ and $\beta$ is