50^ - 70^ + 10^ = - Vidyadip

Question

$\sin 50^\circ - \sin 70^\circ + \sin 10^\circ = $

✓

Answer

b
(b) $\sin \,\,{50^o} - \sin \,\,{70^o} + \sin \,\,{10^o}$

$ = - 2\,\,\cos \,\,{60^o}\sin \,\,{10^o} + \sin \,\,{10^o}$

$ = \,\sin \,{10^o}\,(1 - 2\,\,\cos \,\,{60^o}) = 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

Explore more

JEE STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

The number of integers $a$ in the interval $[1,2014]$ for which the system of equations $x+y=a$, $\frac{x^2}{x-1}+\frac{y^2}{y-1}=4$ has finitely many solutions is

If ${9 \over {(x - 1)\,{{(x + 2)}^2}}} = {A \over {x - 1}} + {B \over {x + 2}} + {C \over {{{(x + 2)}^2}}}$ then $A - B - C = $

If $f(x) = 3{e^{{x^2}}}$, then $f'(x) - 2xf(x) + {1 \over 3}f(0) - f'(0) = $

The number of solution of the equation $\tan x + \sec x = 2\cos x$ lying in the interval $(0,2\pi )$ is

How many real tangents can be drawn to the ellipse $5x^2 + 9y^2 = 32$ from the point $(2,3)$

The number of $3$-$digit$ odd numbers, whose sum of digits is a multiple of $7$ , is

Let $A$ be the sum of the first $20$ terms and $B$ be the sum of the first $40$ terms of the series ${1^2} + 2 \cdot {2^2} + {3^2} + 2 \cdot {4^2} + {5^2} + .\;.\;.\;.$ If $B - 2A = 100\lambda $ then $\lambda $ is equal to :

If ${(\sqrt 8 + i)^{50}} = {3^{49}}(a + ib)$ then ${a^2} + {b^2}$ is

Let integers $a , b \in[-3,3]$ be such that $a + b \neq 0$. Then the number of all possible ordered pairs (a, b), for which $\left|\frac{z-a}{z+b}\right|=1$ and $\left|\begin{array}{ccc}z+1 & \omega & \omega^2 \\ \omega & z+\omega^2 & 1 \\ \omega^2 & 1 & z+\omega\end{array}\right|$$=1, z \in C$, where $\omega$ and $\omega^2$ are the roots of $x^2+x+$ $1=0$, is equal to _________

Let $A=\{1,3,4,6,9\}$ and $B=\{2,4,5,8,10\}$. Let $R$ be a relation defined on $A \times B$ such that $R =$ $\left\{\left(\left(a_1, b_1\right),\left(a_2, b_2\right)\right): a_1 \leq b_2\right.$ and $\left.b_1 \leq a_2\right\}$. Then the number of elements in the set $R$ is