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3 years ago

Which of the following illustrates the truth value of the given conditional statement?

Mathematics

1 answer:

Alexxx [7]3 years ago

6 0

Answer:

Option A is correct

Step-by-step explanation:

First Statement is P: Water is wet

Second statement is Q: 5+3 =15

Truth value of P = T

Truth value of Q = F

And we have T implies F gives F

so its F .

therefore option first is true.

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Eddi Din [679]

Hi,

Work:

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Quotient rule:

$\left(\dfrac{\cos(2x)}{1+\sin(2x)}\right)'=\dfrac{(1+\sin(2x))(\cos(2x))'-\cos(2x)(1+\sin(2x))'}{(1+\sin(2x))^2}$

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$(\cos(2x))'=-\sin(2x)(2x)'=-2\sin(2x)$

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Put everything together and simplify:

$\dfrac{\sqrt{1+\sin(2x)}}{2\sqrt{\cos(2x)}}\dfrac{(1+\sin(2x))(-2\sin(2x))-\cos(2x)(2\cos(2x))}{(1+\sin(2x))^2}$

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

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

$=-\dfrac{\sqrt{1+\sin(2x)}}{\sqrt{\cos(2x)}}\dfrac1{1+\sin(2x)}$

$=-\dfrac1{\sqrt{\cos(2x)}}\dfrac1{\sqrt{1+\sin(2x)}}$

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3 years ago

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bazaltina [42]

Answer:

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Step-by-step explanation:

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3 years ago

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Advocard [28]

Answer

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tan 32

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