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Bingel [31]
2 years ago
8

I need step by step explanation and answer please

Mathematics
1 answer:
fredd [130]2 years ago
7 0

Answer:

2

Step-by-step explanation:

Trigonometric identities:

\sin^{2} (x)  +  { \cos}^{2} (x) = 1 \\  {\cos}^{2} (x) = 1 -  { \sin}^{2} (x) \\   { \sin }^{2} x = 1 - {\cos}^{2} (x) \:

Replace into the equation

\frac{ \sqrt{1 -  \cos^{2} (x) } }{ \sin(x) }  +  \frac{ \sqrt{1 -  \sin^{2}(x) } }{ \cos(x) }   \\ \\   =  \frac{ \sqrt{ \sin^{2}(x) } }{ \sin(x) }  +  \frac{ \sqrt{ \cos^{2}(x) } }{ \cos(x) }

Remove roots and simply

=  \frac{ \sin(x) }{ \sin(x) }  +   \frac{ \cos(x) }{ \cos(x) }  \\  \\  = 1 + 1 \\  = 2

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Step-by-step explanation:

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The graph of an inverse trigonometric function passes through the point (1, pi/2). Which of the following could be the equation
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Answer: C) y=sin^-1 x

Step-by-step explanation:

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If this point satisfies the function,

For the function y=cos^{-1} x

If x = 1

y=cos^{-1}1=0

Thus,  (1,\frac{\pi}{2}) is not satisfying function  y=cos^{-1} x,

⇒ The graph of   y=cos^{-1} x is not passing through the point  (1,\frac{\pi}{2})

For the function y=cot^{-1}x

If x = 1

y=cot^{-1}1=\frac{\pi}{4}

Thus,  (1,\frac{\pi}{2}) is not satisfying function y=cot^{-1}x,

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For the function y=sin^{-1} x

If x = 1

y=sin^{-1}1=\frac{\pi}{2}

Thus,  (1,\frac{\pi}{2}) is satisfying function y=sin^{-1} x,

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For the function y=tan^{-1}x

If x = 1

y=tan^{-1}1=\frac{\pi}{4}

Thus,  (1,\frac{\pi}{2}) is not satisfying function  y=cos^{-1} x,

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Hence, Option C is correct.

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3 years ago
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The present age of the mother is 30 years.

<u>Step-by-step explanation</u>:

Step 1 :

At present,

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Step 3 :

After 2 years,

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Step 3 :

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Step 4 :

Substitute x=2,

Age of mother at present = 15x = 30 years.

6 0
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