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Zarrin [17]
3 years ago
12

20 points help + brainlyist

Mathematics
1 answer:
allsm [11]3 years ago
8 0

Answer:

20 I know because I know

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\bf sin({{ \alpha}})sin({{ \beta}})=\cfrac{1}{2}[cos({{ \alpha}}-{{ \beta}})\quad -\quad cos({{ \alpha}}+{{ \beta}})]&#10;\\\\\\&#10;cot(\theta)=\cfrac{cos(\theta)}{sin(\theta)}\\\\&#10;-----------------------------\\\\&#10;\lim\limits_{x\to 0}\ \cfrac{sin(11x)}{cot(5x)}\\\\&#10;-----------------------------\\\\&#10;\cfrac{sin(11x)}{\frac{cos(5x)}{sin(5x)}}\implies \cfrac{sin(11x)}{1}\cdot \cfrac{sin(5x)}{cos(5x)}\implies \cfrac{sin(11x)sin(5x)}{cos(5x)}

\bf \cfrac{\frac{cos(11x-5x)-cos(11x+5x)}{2}}{cos(5x)}\implies \cfrac{\frac{cos(6x)-cos(16x)}{2}}{cos(5x)}&#10;\\\\\\&#10;\cfrac{cos(6x)-cos(16x)}{2}\cdot \cfrac{1}{cos(5x)}\implies \cfrac{cos(6x)-cos(16x)}{2cos(5x)}&#10;\\\\\\&#10;\lim\limits_{x\to 0}\ \cfrac{cos(6x)-cos(16x)}{2cos(5x)}\implies \cfrac{1-1}{2\cdot 1}\implies \cfrac{0}{2}\implies 0
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3 years ago
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