Trignometry Quiz

 $\cos\left(A+B\right)=\alpha\cos\ A\ \cos\ B+\beta\sin\ A\sin B,\ then\ \left(\alpha,\beta\right)=$  

• (-1,-1)

• (-1,1)

• (1,-1)

• (1,1)

CosecA-2cot2A Cos A

• 2Sin A

• sec A

• 2 cos A cot A

• None of these

In a triangle tan A+tan B+tan C=6 and tan A tan =2, then the values of tanA, tan B and tan C are

• 1,2,3

• 2,1,3

• 1,2,0

• none of these

if cos A =cos B Cos C and A+B+C=  $\pi$   then the value of cot B cot C is 

• 1

• 2

• 1/3

• 1/2

if A+B+C= $\pi\left(A,B,C>0\right)$  and the angle C is obtuse then

• tan A tan B>1

• tan A tan B<1

• tan A tan B=1

• none of these 

Maximum value of  $f\left(x\right)=\sin\ x+\cos\ x\ is$  

• 1

• 2

•  $\frac{1}{\sqrt{2}}$  

•  $\sqrt{2}$  

The value  $\cos\ 105^o+\sin\ 105^{o\ }is$   

• 0

• 2 sin 15

• cos 15+sin 15

• sin 15+cos 15

if cos(a+b)=4/5 , sin(a-b)=5/13 and a ,b lie between 0 and  $\frac{\pi}{4\ }$  , then tan 2a=

• 16/63
  

• 56/33

• 28/33

• None of these

 $if\ \cos\ 3\theta=\alpha\cos\ \theta+\beta\cos^3\theta,\ then\ \left(\alpha,\beta\right)=$ 

• (3,4)

• (4,3)

• (-3,4)

• (3,-4)

if A+B+C=180,  then the value of (cot B+cot C)(cotC+cot A) (cotA+cot B) will be

• sec A sec B sec C
  

• cosec A cosec B cosec C

• tan A tan B tan C

• 1