4 years ago

What is the value of x?

Mathematics

2 answers:

soldi70 [24.7K]4 years ago

8 0

X=12 because it is a pythagorean triple to 9

iragen [17]4 years ago

7 0

Your answer is x=12 ;)

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Answer:

(1) $csc A=\dfrac{17}{8}$

(2) $sec A=\dfrac{17}{15}$

Step-by-step explanation:

$Tan A=\dfrac{8}{15}\\$In Trigonometry, $Tan A=\dfrac{Opposite}{Adjacent}\\$Therefore:\\Opposite=8, Adjacent=15$

Using Pythagoras theorem

$Hypotenuse^2=Opposite^2+Adjacent^2\\Hypotenuse^2=8^2+15^2\\Hypotenuse^2=289\\Hypotenuse^2=17^2\\Hypotenuse=17$

Question 1

Now, cosecant = 1/sin

Therefore:

$csc A=\dfrac{Hypotenuse}{Opposite}\\csc A=\dfrac{17}{8}$

Question 2

Now, secant = 1/cos

Therefore:

$sec A=\dfrac{Hypotenuse}{Adjacent}\\sec A=\dfrac{17}{15}$

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