Solving trigonometric equation sin(0.001−t)=1/2

Tiffany Page

Tiffany Page

Answered question

2022-11-14

Solving trigonometric equation sin ( 0.001 t ) = 1 2
Thank you for your help.

Answer & Explanation

Patrick Arnold

Patrick Arnold

Beginner2022-11-15Added 21 answers

Solving, for t:
sin ( a t ) = 1 2
When we take the inverse sine of both sides we get two different solutions, where n 1     n 2 Z
a t = 5 π 6 + 2 π n 1
a t = π 6 + 2 π n 2
So, when we solve those for t:
t = a 2 π n 1 5 π 6
t = a 2 π n 2 π 6

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