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3 years ago

(Photo attached) Trig question. Please explain and thanks in advance! :)

Mathematics

1 answer:

Gennadij [26K]3 years ago

4 0

Answer:

x ≈ 0.1459

Step-by-step explanation:

Since you only want a small positive solution, you can use the arcsine function to find it.

6sin(5x) = 4

sin(5x) = 4/6 = 2/3

5x = arcsin(2/3)

x = arcsin(2/3)/5

x ≈ 0.1459

_____

A graphing calculator can find the solution easily. It is often easiest to rewrite the equation so you're looking for a solution that makes the value zero. Here, subtracting 4 from both sides does that.

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