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Stels [109]
2 years ago
8

Prove that

20" id="TexFormula1" title=" \frac{1 }{ \sin(x) \times \cos(x) } " alt=" \frac{1 }{ \sin(x) \times \cos(x) } " align="absmiddle" class="latex-formula">
equals 2csc2x
​
Mathematics
1 answer:
konstantin123 [22]2 years ago
3 0

Answer:

See below for proof

Step-by-step explanation:

2csc(2x)\\\\2[\frac{1}{sin(2x)}]\\ \\2[\frac{1}{2sin(x)cos(x)}]\\ \\\frac{2}{2sin(x)cos(x)}\\ \\\frac{1}{sin(x)cos(x)}

Thus, the identity is proven

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2 years ago
A dog and a cat are 200 meters apart when they see each other. The dog can run at a speed of 30 meter per second, while the cat
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Answer:

They'll meet after 200 meters , if they simultaneously start running towards each other.

Step-by-step explanation:

Let x =distance travelled by dog and 200-x be the distance travelled by cat. Inorder to meet, the sum of their travelled distances shall be equal to 200 meters as they are far apart by 200 meters.

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To check:

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Therefore since they are travelling towards each other and their distance apart is 200 meters, after 3.7 seconds they will meet because dog travelled 111.11 meters and cat travelled 88.89 meters and they covered already 200 meters as the sum of 111.11+ 88.89

=200 meters

6 0
1 year ago
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