10th chp 8 Introduction to Trigonometry

If  $\cos\theta$  =  $\frac{1}{2}$  , then find value of  $\left(\sec\theta\ -\ \cos\theta\right)$  

•  $\frac{2}{3}$  

•  $\frac{3}{2}$  

•  $\frac{1}{\sqrt{3}}$  

•  $\sqrt{3}$  

Tags

CCSS.HSF.TF.C.8

Value of  $\frac{\tan45^{\circ}\ }{\sin30^{\circ}\ +\ \cos\ 60^{\circ}}$  = ?

• 3

• 1

• 2

•  $\sqrt{3}$  

Tags

CCSS.HSG.SRT.C.7

 $5\sec^2\theta\ -\ 5\tan^2\theta$  = ?

• 9

• 5

• 1

• 0

ratio of sides of a right triangle with respect to its acute angles are known as

• trigonometric identities

• trigonometry

• trigonometric ratios of angles

• none of these

Tags

CCSS.HSG.SRT.C.6

reciprocal of cot A is

• cosec A

• tan A

• sin A

• cos A

Tags

CCSS.HSG.SRT.C.7

In the given figure, if AB = 14 cm, then the value of tan B is

• $\frac{4}{3}$

• $\frac{14}{3}$

• $\frac{5}{3}$

• $\frac{13}{3}$

Tags

CCSS.HSG.SRT.C.6

In

 $\Delta$  ABC, right angled at B, AB = 5 cm and sin C =  $\frac{1}{2}$  . Determine the length of side AC.

• 12 cm

• 10 cm

• 8 cm

• 14 cm

Tags

CCSS.HSG.SRT.C.8

If 3 cot  $\theta$  = 2, then value of tan  $\theta$  = ?

•  $\frac{2}{3}$  

•  $\frac{3}{2}$  

•  $\frac{3}{\sqrt{13}}$  

•  $\frac{2}{\sqrt{13}}$  

Tags

CCSS.HSF.TF.C.8

The value of  $\sin^230^{\circ}\ -\ \cos^230^{\circ\ }$  is ...?

•  $-\ \frac{1}{2}$  

•  $\frac{\sqrt{3}}{2}$  

•  $\frac{3}{2}$  

•  $\frac{2}{3}$  

Tags

CCSS.HSF.TF.C.8

If  $\Delta$  ABc is right triangle at C, then the value of cos(A+B) is ..?

• 0

• 1

•  $\frac{1}{2}$  

•  $\frac{\sqrt{3}}{2}$  

Tags

CCSS.HSF.TF.C.9