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V125BC [204]
3 years ago
14

(sinx) / (1-cosx) =cscx+cotx

Mathematics
1 answer:
kykrilka [37]3 years ago
7 0

~~\text{L.H.S}\\\\=\dfrac{\sin x}{1-\cos x}\\\\\\=\dfrac{\sin x(1+ \cos x)}{(1 -\cos x)(1+ \cos x)}\\\\\\=\dfrac{\sin x + \sin x \cos x}{1- \cos^2 x}\\\\\\=\dfrac{\sin x+ \sin x \cos x}{\sin^2 x}\\\\\\=\dfrac{\sin x}{ \sin^2 x}+ \dfrac{\sin x \cos x}{ \sin^2 x}\\\\\\=\dfrac{1}{ \sin x} + \dfrac{\cos x}{ \sin x}\\\\\\=\csc x + \cot x\\\\\\=\text{R.H.S}\\\\\text{Proved.}

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4 years ago
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Approximate 589.57 to the nearest whole number..​
n200080 [17]

Answer:

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Step-by-step explanation:

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3 years ago
Which of these is a complex number? <br><br> A. <br><br> B. <br><br> C. <br><br> D.
Step2247 [10]

Answer:

option D

\frac{8}{3} + \sqrt{\frac{-7}{3} }

Step-by-step explanation:

Given in the question are 4 number

5√1/3 - \frac{9}{\sqrt{7} }

2 - \frac{1}{\sqrt{11} }

9 + 3\sqrt{\frac{5}{2} }

\frac{8}{3} + \sqrt{\frac{-7}{3} }

A Complex Number is a combination of a Real Number and an Imaginary Number

<h3>Example </h3>

a + ib

where a is real number

            b is imaginary number

            i is 'lota' which is √-1

<h3>So according to the definition above </h3>

\frac{8}{3} + \sqrt{\frac{-7}{3} } is complex number in which

\frac{8}{3} is real part

\sqrt{\frac{7}{3} } \sqrt{-1} = \sqrt{\frac{7}{3} } i is the imaginary part

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4 years ago
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lilavasa [31]

Answer:

If f(x)=g(x), the solution is x=-2

Step-by-step explanation:

We are given:

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We need to find the solution if f(x)=g(x)

Now solving for f(x)=g(x)

f(x)=g(x)\\3x+3=(-\frac{1}{2}x)-4\\3x+3=-\frac{1}{2}x-4\\3x+\frac{1}{2}x=-4-3\\\frac{3x*2+x}{2}=-7\\\frac{6x+x}{2}=-7\\\frac{7x}{2}=-7\\x=-7*\frac{2}{7}\\x=-2

If f(x)=g(x), the solution is x=-2

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3 years ago
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liberstina [14]

Answer:

16 miles

Step-by-step explanation:

6 0
3 years ago
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