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3 years ago

Determine value of a

Mathematics

1 answer:

S_A_V [24]3 years ago

6 0

For this case we have that by definition of trigonometric relations that the sine of an angle is equal to the opposite leg to the angle on the hypotenuse. That is to say:

$Sin (43) = \frac {a} {26}$

Clearing the value of "a":

$a = 26 * sin (43)\\a = 26 * 0.68199836\\a = 17.73195736$

Rounding off we have:

17.7

Answer:

Option B

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Divide. −425÷(−5) −2225 −825 825 2225

Alex17521 [72]

Answer: The correct answer would be -85.

Step-by-step explanation: This is because the -5 becomes positive because it is inside parentheses.

This would make the expression: -425 ÷ 5.

-425 ÷ 5 is equal to -85.

Hope this helps and have a nice day! :)

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Naddik [55]

The awnser is 130 ft.

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Cos (90-theta) • cosec90-theta) =tano. How?

denis-greek [22]

Answer:

______________________________________________________

TRIGONOMETRY IDENTITIES TO BE USED IN THE QUESTION :-

For any right angled triangle with one angle α ,

$\cos (90 - \alpha ) = \sin \alpha$ or $\sin(90 - \alpha ) = \cos\alpha$

$cosec \: (90 - \alpha ) = \sec\alpha$ or $\sec(90 - \alpha ) = cosec\:\alpha$

SOME GENERAL TRIGNOMETRIC FORMULAS :-

$\sin \alpha = \frac{1}{cosec \: \alpha }$ or $cosec \: \alpha = \frac{1}{\sin \alpha }$

$\cos \alpha = \frac{1}{\sec \alpha }$ or $\sec \alpha = \frac{1}{\cos \alpha }$

______________________________________________________

Now , lets come to the question.

In a right angled triangle , let one angle be α (in place of theta) .

So , lets solve L.H.S.

$\cos (90 - \alpha ) \times cosec(90 - \alpha )$

$=> sin\alpha \times \sec\alpha$

$=> \sin\alpha \times \frac{1}{\cos\alpha }$

$=> \frac{\sin\alpha }{\cos\alpha }$

$=> \tan\alpha$ = R.H.S.

∴ L.H.S. = R.H.S. (Proved)

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Eva8 [605]

Answer:

when x=1

3x+5.=3×1+5=8

when x=0

3x+5.=3×0+5=5

Step-by-step explanation:

when x=-1

3x+5.=3×-1+5=-3+5=2

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