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3 years ago

Sin(a+b).cos(a-b) = sinacosa + sinbcosb

1 answer:

4 0

Sin (A + B) = sin A cos B + cos A Sin B
Cos (A - B) = cos A cos B + sin A sin B 

=> (SinACosB+ CosASinB) (CosACosB +SinASinB) 

=>SinACosACos^2B+Sin^2ACosBSinB+Cos^2A... 

=>SinACosA(Cos^2B+Sin^2B) +SinBCosB(Sin^2A+Cos^2A) 
we know that Sin^2+Cos^2=1 
=>SinACosA(1)+SinBCosB(1) 
=SinACosA+SinBCosB 
Proved

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3 years ago

Carter is selling his bike. His research shows that the bike has a current value of $90, which is 45% of the amount Carter paid

GaryK [48]

Carter paid $200 for the bike.

Step-by-step explanation:

Given,

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Let,

x represent the original amount of bike.

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Dividing both sides by 0.45

$\frac{0.45x}{0.45}=\frac{90}{0.45}\\x=200$

Carter paid $200 for the bike.

Keywords: percentage, division

Learn more about division at:

#LearnwithBrainly

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4 years ago

Solve 25^2x+1 = 144

Sergeu [11.5K]

Answer:

X = 0.272

Step-by-step explanation:

Firstly, use a common log on the 25 to undo it. Secondly, use the log25(144) on the other side to get ~ 0.54. Move the 1 over with subtraction and then divide out the 2. This will leave you with X= 0.272

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4 years ago

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