Solve;a=g(sin 30-0.15cos30)

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a=g(sin 30-0.15cos30)

a/g=(sin 30-0.15cos30)
=0.5+0.15*(√3)/2
=0.37 approx.

To solve the equation a = g(sin 30 - 0.15 cos 30), we need to break it down step by step.

Step 1: Convert the angle from degrees to radians
The equation includes sin 30 and cos 30, which represent the sine and cosine of 30 degrees. These trigonometric functions typically work with angles in radians rather than degrees. To convert, we use the formula: radians = degrees * π / 180.

sin 30 degrees = sin (π/6 radians)
cos 30 degrees = cos (π/6 radians)

Step 2: Substitute the values
Now we can substitute the conversions into the equation:

a = g(sin (π/6) - 0.15 cos (π/6))

Step 3: Evaluate the trigonometric functions
Using a calculator or trigonometric tables, find the values of sin (π/6) and cos (π/6).

sin (π/6) ≈ 0.5
cos (π/6) ≈ 0.866

Replace the values in the equation:

a = g(0.5 - 0.15 * 0.866)

Step 4: Perform the calculations
Multiply and subtract to find the result:

a ≈ g(0.5 - 0.1299)

Simplify further:

a ≈ g(0.3701)

So, the solution to the equation a = g(sin 30 - 0.15 cos 30) is a ≈ g(0.3701).