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What is t in 197sin(12t)=141

User Bradley
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1 Answer

4 votes

Answer:

t ≈ 0.0664731

Explanation:

Use the inverse sine function.

sin(12t) = 141/197

12t = arcsin(141/197)

t = arcsin(141/197)/12

t ≈ 0.0664731 . . . . . . . radians

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This is the principal value. There are other solutions at values of t that have integer multiples of π/6 added to this. There are also solutions where any of those values is subtracted from π.

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In general, angles in math are assumed to be in radians, unless specified otherwise. This angle corresponds to about 3.81°. (In geometry, the usual assumption is that angles are measured in degrees.)

What is t in 197sin(12t)=141-example-1
User Pommicket
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