The main trigonometrical ratios of some angles

If cos x = $\frac{1}{\sqrt{2}}$  where x is an acute angle, then m( $\angle$  X) =

• 60 $\degree$  

• 90 $\degree$  

• 45 $\degree$  

• 30 $\degree$  

Tags

CCSS.HSG.SRT.C.7

If tan x = $\frac{1}{\sqrt{3}}$  where x is an acute angle, then tan 2x =

•  $\frac{2}{\sqrt{3}}$  

•  $2\sqrt{3}$  

•  $\sqrt{3}$  

• 3

Tags

CCSS.HSF.TF.C.9

If tan (2x $-$  5 $\degree$  ) = 1 where x is an acute angle, then x =

• 45

• 35

• 25

• 15

Tags

CCSS.HSG.SRT.C.7

Find the length of the side marked by the sign (?) in that figure.

• 5.4

• 9.6

• 6.9

• 9.7

Tags

CCSS.HSG.SRT.C.8

If cos $\frac{X}{2}$  = $\frac{1}{2}$  where $\frac{X}{2}$  is an acute angle, then m( $\angle$  X) =

• 30 $\degree$  

• 45 $\degree$  

• 60 $\degree$  

• 120 $\degree$  

Tags

CCSS.HSG.SRT.C.7

 $\Delta$  ABC is right-angled at A, if tan B =1, then tan C $-$  sin C cos C =

• zero

• 1

• 2

•  $\frac{1}{2}$  

Tags

CCSS.HSG.SRT.C.7

Find the measure of the angle marked by the sign (?)

• 60 $\degree$ 5`11``

• 59 $\degree$ 2`10``

• 59 $\degree$ 4`10``

• 40 $\degree$ 6`15``

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

sin 30 $\degree$ + cos 60 $\degree$  $-$ tan 45 $\degree$  =

• 1

• 0

•  $\frac{1}{2}$  

•  $\frac{-1}{2}$  

Tags

CCSS.HSF.TF.C.8

 $\sin^245\ -\cos^245\ =$  

• 0

•  $\frac{1}{2}$  

• 1

• -1

Tags

CCSS.HSF.TF.C.8

 $\cos30\ -\sin60\ +\tan45\ =$  

•  $\frac{1}{\sqrt{2}}$  

• 1

• 0

•  $\frac{1}{2}$  

Tags

CCSS.HSF.TF.C.8