Sum and Difference Formula Practice Problems

Sina= 3/5 and lies in quadrant 1

Sinb = 5/13 and lies in quadrant 2

Find cos(a+b)

(a)  

Tags

CCSS.HSF.TF.C.9

Sina= 3/5 and lies in quadrant 1

Sinb = 5/13 and lies in quadrant 2

Find Sin(a+b)

(a)  

Tags

CCSS.HSF.TF.C.9

Sina=3/5 and lies in quadrant 1

Sinb= 5/13 and lies in quadrant 2

Find tan(a+b)

(a)  

Tags

CCSS.HSF.TF.C.9

Sina=4/5 and lies in quadrant 1

Sinb=7/15 and lies in quadrant 2

Find cos(a+b)

(a)  

Tags

CCSS.HSF.TF.C.9

Sina=4/5 and lies in quadrant 1

Sinb=7/25 and lies in quadrant 2

Find Sin(a+b)

(a)  

Tags

CCSS.HSF.TF.C.9

Sina=4/5 and lies in quadrant 1

Sinb=7/25 and lies in quadrant 2

Find tan(a+b)

(a)  

Tags

CCSS.HSF.TF.C.9

Given tana = -3/4 and lies in quadrant 2 and cosb = 1/3 and lies in quadrant 1, select the following 3 answers for:

Cos(a+b), Sin(a+b) and Tan(a+b)

• $\frac{4+6\sqrt{2}}{15}$

• $\frac{3+8\sqrt{2}}{3}$

• $\frac{3-8\sqrt{2}}{15}$

• $\frac{54-25\sqrt{2}}{28}$

Tags

CCSS.HSF.TF.C.9

Given tana = -4/3 and lies in quadrant 2 and cosb = 2/3 and lies in quadrant 1 find the following:

cos(a+b), sin(a+b), and tan(a+b). Select the three answers.

• $\frac{6+4\sqrt{3}}{15}$

• $\frac{8-3\sqrt{5}}{15}$

• $\frac{54-25\sqrt{5}}{22}$

• $\frac{8+3\sqrt{5}}{3}$

Tags

CCSS.HSF.TF.C.9

Given that cosa =8/17 and lies in quadrant 4 and sinb= -1/2 and lies in quadrant 3, select the answers to the following expressions:
cos(a+b) and sin(a+b)

•  $\frac{15}{17}$  

•  $\frac{-15}{17}$  

•  $\frac{15+8\sqrt{3}}{34}$  

•  $\frac{-8+15\sqrt{3}}{34}$  

Tags

CCSS.HSF.TF.C.9