y=1/2cos[1/2(x-30)]-5 has a transformed point of
The transformed point of the equation y=1/2cos[1/2(x-30)]-5 can be found by inputting a specific value for x and solving for y.
Let's say we choose x=60.
First, substitute x=60 into the equation:
y = 1/2cos[1/2(60-30)] - 5
y = 1/2cos[1/2(30)] - 5
y = 1/2cos[15] - 5
Next, calculate the cosine of 15°:
cos(15°) ≈ 0.9659
Substitute this value back into the equation:
y = 1/2(0.9659) - 5
y ≈ 0.4829 - 5
y ≈ -4.5171
So, the transformed point of the equation y=1/2cos[1/2(x-30)]-5 when x=60 is approximately (60, -4.5171).