Question

Solve 4 sin (5t)-1 = 1 for all possible values. Draw picture to support your answer. Can someone help me for this question? I don’t know how to solve this problem. ASAP!!!!

Answer 1

The answer to your question is t₁ = 6 and t₂ = 30

Explanation:

4sin(5t) -1 = 1

Solve as a common equation

4sin(5t) = 1 + 1

4sin(5t) = 2

sin(5t) = 2/4

sin(5t) = 1/2

sin of 1/2 = 30° and 150° sin 30 = 1/2 and sin 150 = 1/2

Then

5t = 30° and 5t = 150°

t₁ = 30/5 t = 150/5

t₁ = 6 t₂ = 30