Sum to product of two angles
Sum to product of two angles
Product to Sum of two angles
Product to Sum of two angles
Solving problems
100

What does, Sin(a)+Sin(B), equal to? 

2sin((a+B)/2)cos((a-B)/2)

100

What does, cos(a)+cos(B), equal to? 

2cos(a+B/2)cos(a-B/2)

100

What does, sin(a)sin(B), equal to? 

1/2[cos(a-B)-cos(a+B)]

100

What does, cos(a)cos(B), equal to? 

1/2[cos(a-B)+cos(a+B)]

100

sin(10x)+sin(5x)

2(sin(15x/2)cos(5x/2))

200

What does, Sin(a)-Sin(B), equal to? 

2cos((a+B)/2)sin((a-B)/2)

200

What does, cos(a)-cos(B), equal to?

-2sin(a+B/2)sin(a-B/2)

200

What does, sin(a)cos(B), equal to?

1/2[sin(a+B)+sin(a-B)]

200

What does, cos(a)sin(B), equal to? 

1/2[sin(a+B)-sin(a-B)]

200

cos(10x)sin(5x)

1/2(sin(15x)+sin(5x))

300

What identity do you use for this equation?

cos5x+cos3x

cos(a)+cos(B)=2cos((a+B)/2)cos((a-B)/2)

300

What identity do you use for this equation?

sin(3x)-sin(x)

sin(a)-sin(B)=2cos((a+B)/2)sin((a-B)/2)

300

What identity do you use for this equation?

-8cos(3x)cos(5x)

cos(a)cos(B)=1/2[cos(a-B)+cos(a+B)]

300

What indentity do you use for this equation? 

Sin(40)Sin(15)

Sin(a)sin(B)=1/2[cos(a-B)-cos(a+B)]

300

cos(2x/3)+cos(7x/3)

2cos((9x/3)*(1/2))cos((-5x/3)*(1/2))

400

How do you set this problem up?

cos(5x)+cos(3x)

2cos((5x+3x)/2)cos((5x-3x)/2)

400

How do you set this problem up?

sin(3x)-sin(x)

2cos((3x+x)/2)sin((3x-x)/2)

400

How do you set this problem up?

-8cos(3x)cos(5x)

(-8)(1/2[cos(3x-5x)-cos(3x+5x)])

400

How do you set this problem up? 

4Sin(35)cos(15)

(4)(1/2[sin(35+15)+sin(35-15)])

400

sin(πx/2)sin(5πx/2)

1/2(cos(2πx)-cos(3πx)

500

How do you set this problem up?

cos(x/2)-cos(5x/2)

-2sin((x/2 + 5x/2)/2)sin((x/2-5x/2)/2)

500

How do you set this problem up?

sin(3π)/4)(x))+sin(5π)/4)(x))

2sin((3π/4 + 5π/4)/2)cos((3π/4-5π/4)/2)

500

How do you set this problem up?

cos(10x)sin(5x)


1/2[sin(10x+5x)-sin(10x-5x)]

500

How do you set this problem up?

sin(40)sin(15)

1/2[cos(40-15)-cos(40+15)]

500

4(cos(-x)cos(2x))

2(cos(3x)+cos(x))

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