Trigonometry (angles- identities)

• 16

• $8\sqrt{3}$

• $8\sqrt{2}$

• 4

Tags

CCSS.HSG.CO.C.9

Simplify the given expression:

sin x . cot x

• sin x

• cos x

• sec x

• cosec x

Simplify the given expression :

cosec² x - cot² x

• 1

• sin x

• cos x

• cosec x

Determine whether the given expression is positive or negative

if a in the II quadrant

sin a . cos a . tan a

• +

• -

Tags

CCSS.HSF.TF.C.8

Determine whether the given expression is positive or negative respectively

if a in the III quadrant

sin a , cos a. sin a , tan a . sec a

• +,+,+

• -,-,+

• -,+,-

• -,+,+

Tags

CCSS.HSF.TF.A.2

Find the quadrant in which a lies, for the given equality

sin a < 0 , cos a > 0

• First quadrant

• Second quadrant

• Third quadrant

• Fourth quadrant

Tags

CCSS.HSF.TF.A.2

Find the quadrant in which a lies for the inequality:

tan a < 0 , cosec a < 0

• First quadrant

• Second quadrant

• Third quadrant

• Fourth quadrant

Tags

CCSS.HSF.TF.A.2

Find the exact values of the given ratios respectively

sin 120 , cos 300 , tan 240

• $\frac{\sqrt{3}}{2},\frac{1}{2},\frac{\sqrt{3}}{1}$

• $\frac{-\sqrt{3}}{2},\frac{\sqrt{3}}{2},-\frac{\sqrt{3}}{1}$

• $\frac{\sqrt{3}}{2},\frac{1}{2},\frac{\sqrt{3}}{3}$

• $\frac{\sqrt{3}}{2},\frac{-1}{2},\frac{-\sqrt{3}}{3}$

Tags

CCSS.HSF.TF.A.2

Find the exact values of the given ratios respectively

sin ( -135 ) , cot ( - 120 ) , cos ( -30 )

• $\frac{\sqrt{2}}{2},\frac{1}{\sqrt{3}},\frac{\sqrt{3}}{2}$

• $\frac{-\sqrt{2}}{2},\frac{1}{\sqrt{3}},\frac{\sqrt{3}}{2}$

• $\frac{\sqrt{2}}{2},\frac{\sqrt{3}}{3},\frac{\sqrt{3}}{2}$

• $\frac{\sqrt{2}}{2},\frac{1}{\sqrt{3}},\frac{1}{2}$

Tags

CCSS.HSF.TF.C.9

 $a\in\left(\ 90\ ,\ 180\ \right),\ \sin\ a\ =\frac{5}{13\ }$  given find the values of  cos a , tan a and cot a respectively.

•  $\frac{12}{13},\frac{5}{12},\frac{12}{5}$  

•  $\frac{12}{13},\frac{-5}{12},\frac{-12}{5}$  

•  $\frac{12}{13},\frac{-5}{13},\frac{-13}{5}$  

•  $\frac{-12}{13},\frac{5}{12},\frac{12}{5}$  

Tags

CCSS.HSF.TF.C.8