Grade 9. Trigonometry (Sine and Cosine Rules)

ABC is a straight line, AB = 7 cm, AC = 11 cm and sin ∠CBD = ³⁄₄

_{Find sin} ∠ ACB.

• $\frac{21}{11}$

• $\frac{7}{11}$

• $\frac{21}{44}$

• $\frac{11}{21}$

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Given that 

 $\ 0\degree<x<180\degree\$  
what is/are the possible value(s) of x for

 sin x =o.419 ?

•  $24.8\degree\ or\ 155.2\degree$  

•  $24.8\degree\ or\ -155.2\degree$  

•  $Only\ 24.8\degree$  

•  $Only\ 155.2\degree$  

Tags

CCSS.HSF.TF.B.7

Find the area of △ABC, given that AB = 9.8 cm, BC = 12.4 cm and ∠ABC = 43°.

• $60.8\ cm^2$

• $41.4\ cm^2$

• $38.2\ cm^2$

• $4.40\ cm^2$

Tags

CCSS.HSG.SRT.D.9

Express cos 175° as a trigonometric ratio of the acute angle.

• 0.60

• $-\cos5\degree$

• $\cos5\degree$

• $\sin175\degree$

Tags

CCSS.HSG.SRT.C.7

Find an acute angle whose cosine is 0.67.

• $40.9\degree$

• $47.9\degree$

• $60\degree$

• $9.9\degree$

Tags

CCSS.HSG.SRT.C.8

Find the lengths of AC and BC respectively.

• 7.64 cm and 66.9 cm

• 7.64 cm and 5.89 cm

• 5.89 cm and 7.64 cm

• 5.89 cm and 66.9 cm

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

In △ABC, a = 18 cm, b = 11 cm and c = 13 cm.

What is the size of the largest angle?

• $45.6\degree$

• $96.8\degree$

• $98.2\degree$

• $73.4\degree$

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11