Solve the trigonometric equation6sin(𝑡2)−2=−5to find an exact solution on the interval [−𝜋2,𝜋2]
Question
Solution 1
To solve the trigonometric equation 6sin(t/2) - 2 = -5, follow these steps:
Step 1: Isolate the sine function. To do this, add 2 to both sides of the equation to get: 6sin(t/2) = -5 + 2 6sin(t/2) = -3
Step 2: Divide both sides by 6 to solve for sin(t/2): sin(t/2) = -3/6 sin(t/2) = -1/2
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