Tag: maths

Questions Related to maths

$\sin { { 30 }^{ o }= } $

  1. $\dfrac {1}{2}$

  2. $-\dfrac {1}{2}$

  3. $\dfrac {\sqrt {3}}{2}$

  4. $-\dfrac {\sqrt {3}}{2}$


Correct Option: A
Explanation:

As we know that 

$\sin 30^{\circ}=\dfrac{1}{2}$

The value of $\tan 7\dfrac{1}{2}^{o}$ is equal to

  1. $\sqrt{6}+\sqrt{3}+\sqrt{2}-2$

  2. $\sqrt{6}-\sqrt{3}+\sqrt{2}-2$

  3. $\sqrt{6}-\sqrt{3}+\sqrt{2}+2$

  4. $\sqrt{6}-\sqrt{3}-\sqrt{2}-2$


Correct Option: A

General solution of $cotx+tanx=2cosecx$ is

  1. $2n\pi\pm\dfrac{2\pi}{3},n\inZ$

  2. $2n\pi\pm\dfrac{4\pi}{3},n\in Z$

  3. $2n\pi\pm\dfrac{5\pi}{3},n\in Z$

  4. $2n\pi\pm\dfrac{\pi}{3},n\in Z$


Correct Option: A

If $\cos A=\cos $ and $\sin A=\sin B$ then 

  1. $A+B=0$

  2. $A=B$

  3. $A+B=2n \pi$

  4. $A=B+2n \pi$


Correct Option: A

$\left( 1-\dfrac { \cos { 61^{o} }  }{ \cos { 1^{o} }  }  \right) \left( 1-\dfrac { \cos { 62^{o} }  }{ \cos { 2^{o} }  }  \right) \left( 1-\dfrac { \cos { 63^{o} }  }{ \cos { 3^{o} }  }  \right) .......\left( 1-\dfrac { \cos { 119^{o} }  }{ \cos { 59^{o} }  }  \right) $

  1. $-1$

  2. $1$

  3. $2$

  4. $0$


Correct Option: A

If $\tan \theta =\dfrac {\cos 9^{o}+\sin 9^{o}}{\cos 9^{o}-\sin 9^{o}}$, then the value of $\theta$ is

  1. $9^{o}$

  2. $54^{o}$

  3. $18^{o}$

  4. $None\ of\ these$


Correct Option: A

The value of $\tan \theta .\tan (\theta +60^{o})+\tan \theta \tan (\theta -60^{o})+\tan (\theta +60^{o}).\tan (\theta -60^{o})+3$ is  

  1. $0$

  2. $1$

  3. $-1$

  4. $None\ of\ these$


Correct Option: A

The value of $\sin 75^{o}$ is

  1. $\dfrac {2-\sqrt {3}}{\sqrt {2}}$

  2. $\dfrac {\sqrt {3}+1}{2\sqrt {2}}$

  3. $\dfrac {\sqrt {3}-1}{2\sqrt {2}}$

  4. $\dfrac {\sqrt {3}+1}{\sqrt {2}}$


Correct Option: A

$\dfrac{\cos{20}^{o}+8\sin{70}^{o}\sin{50}^{o}\sin{10}^{o}}{{\sin}^{2}{80}^{0}}$ is equal to:

  1. $1$

  2. $2$

  3. $\dfrac{3}{4}$

  4. $\none$


Correct Option: A