Review 6.4-6.5

Review 6.4-6.5

Sum and difference, double angle and Half- angle​.

By Adrian Navarro

Multiple Choice

What does sin ( u + v ) =

• sinucosv-cosusinv

• sinucosv+cosusinv

• cosucosv - sinusinv

• cosucosv + sinusinv

Multiple Choice

Now find the exact value of

sin ( 60 + 45 )

• $$\frac{\sqrt[]{6}+\sqrt[]{2}}{4}$$  

• $$\frac{\sqrt[]{3}+2}{4}$$  

• $$2-\sqrt[]{3}$$  

Multiple Choice

What does sin(2u) =

• 2sin u cos u

• sin u + cos u

• 3sinu

• 2sin u 2 cos u

Multiple Select

Solve

sin2x + cos x = 0

• $$\cos\ x\ =\ 0$$  

  $$x\ =\ \frac{\pi}{2},\ \frac{3\pi}{2}$$  

• $$\sin\ x\ =\ -\frac{1}{2}$$  

  $$x\ =\ \frac{7\pi}{6},\ \frac{11\pi}{6}$$  

• $$\sin\ x\ =\ 0$$  

  $$x\ =\ 0,\ \pi$$  

• $$\cos\ x\ =\ \frac{1}{2}$$  

Multiple Choice

What does

$$\cos\ \frac{u}{2}=$$  

• $$\pm\sqrt[]{\frac{1+\cos u}{2}}$$  

• $$\pm\sqrt[]{\frac{1-\cos u}{2}}$$  

• $$\frac{1-\cos\ u}{\sin\ u}$$  

Multiple Choice

Use the half-angle formula to determine cos ( 165 ).

• $$-\frac{\sqrt[]{2+\sqrt[]{3}}}{2}$$  

• $$\frac{\sqrt[]{2-\sqrt[]{3}}}{2}$$  

• $$-\sqrt[]{2+\sqrt[]{3}}$$  

• $$\sqrt[]{2-\sqrt[]{3}}$$  

Open Ended

If you are given sin u = $$-\frac{3}{5},\ and\ \ u\ is\ between\ \ \frac{3\pi}{2}<u\ <\ 2\pi$$  What do you need to make?

Multiple Choice

Find sin 2u given sin u = $$-\frac{3}{5},\ and\ \ u\ is\ between\ \ \frac{3\pi}{2}<u\ <\ 2\pi$$  

• $$-\frac{24}{25}$$  

• $$\frac{15}{16}$$  

• $$\frac{20}{19}$$  

Open Ended

What do you need to know in order to be successful for the next Quiz/Test?