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even/odd, sin(x+-y)

Total questions: 7

Worksheet time: 9mins

Name
Class
Date
1.

Есепте

 sin(30°)\sin\left(-30\degree\right)  

a)

 12\frac{1}{2}  

b)

 32\frac{\sqrt{3}}{2}  

c)

 12-\frac{1}{2}  

d)

-1

2.

 cos(3π4)\cos\left(-\frac{3\pi}{4}\right)  

Find the exact value using even-odd properties.

a)

 22-\frac{\sqrt{2}}{2}  

b)

 22\frac{\sqrt{2}}{2}  

c)

-1

d)

 12\frac{1}{2}  

3.

 tan(π4)\tan\left(-\frac{\pi}{4}\right)  

Find the exact value using even-odd properties.

a)

1

b)

-1

c)

 22\frac{\sqrt{2}}{2}  

d)

 3-\sqrt{3}  

4.

Жұп функцияны тап:

a)

tan(-x)=tan(x)

b)

sin(-x)=sin(x)

c)

cot(-x)=cot(x)

d)

cos(-x)=cos(x)

5.

What is the formula to find sin(x+y)?

a)

sin(x)cos(y)sin(y)cos(x)\sin\left(x\right)\cdot\cos\left(y\right)-\sin\left(y\right)\cdot\cos\left(x\right)

b)

sin(x)cos(y)+sin(y)cos(x)\sin\left(x\right)\cdot\cos\left(y\right)+\sin\left(y\right)\cdot\cos\left(x\right)

c)

sin(x)cos(y)sin(x)cos(y)\sin\left(x\right)\cdot\cos\left(y\right)-\sin\left(x\right)\cdot\cos\left(y\right)

d)

sin(x)cos(y)+sin(x)cos(y)\sin\left(x\right)\cdot\cos\left(y\right)+\sin\left(x\right)\cdot\cos\left(y\right)

6.

What is the formula to find sin(x-y)?

a)

sin(x)cos(y)sin(y)cos(x)\sin\left(x\right)\cdot\cos\left(y\right)-\sin\left(y\right)\cdot\cos\left(x\right)

b)

sin(x)cos(y)+sin(y)cos(x)\sin\left(x\right)\cdot\cos\left(y\right)+\sin\left(y\right)\cdot\cos\left(x\right)

c)

sin(x)cos(y)sin(x)cos(y)\sin\left(x\right)\cdot\cos\left(y\right)-\sin\left(x\right)\cdot\cos\left(y\right)

d)

sin(x)cos(y)+sin(x)cos(y)\sin\left(x\right)\cdot\cos\left(y\right)+\sin\left(x\right)\cdot\cos\left(y\right)

7.

Calculate
 sin(15°)\sin\left(15\degree\right)  

a)

 6+24\frac{\sqrt{6}+\sqrt{2}}{4}  

b)

 624\frac{\sqrt{6}-\sqrt{2}}{4}  

c)

 264\frac{\sqrt{2}-\sqrt{6}}{4}  

d)

 624\frac{-\sqrt{6}-\sqrt{2}}{4}