Vicky7847
Answered

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Suppose that a is an angle with sin A = 3/7 and a is not in the second quadrant. Compute the exact value of 10 a. You do not have to rationalize the denominator. Please answer it

Sagot :

xero099

Answer:

The exact value of [tex]10\cdot a[/tex] is [tex]253.77^{\circ}[/tex].

Step-by-step explanation:

Sine function is a bounded function between -1 and 1 and positive in the first and second quadrants. From statement we deduct that [tex]a[/tex] is in the first quadrant, that is, [tex]0^{\circ}< A < 90^{\circ}[/tex]. Then, we determine the angle by inverse trigonometric function:

[tex]A = \sin^{-1} \frac{3}{7}[/tex]

[tex]A \approx 25.377^{\circ}[/tex]

Then, the exact value of [tex]10\cdot a[/tex] is [tex]253.77^{\circ}[/tex].

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