simplify using a mathematical table or calculator {sin(-330)-cos(330)/sin(660)}^-1
To calculate this expression, we can use a calculator.
Using a scientific calculator, we can input the expression as follows:
sin(-330) - cos(330) / sin(660)
The answer will depend on the unit your calculator is set to. However, the final step asks for the inverse, so the unit will not matter.
Using a calculator, the simplified result is approximately equal to -1.31696.
To simplify the expression {sin(-330)-cos(330)/sin(660)}^-1, we can start by evaluating the trigonometric functions using a calculator.
sin(-330) = -0.5
cos(330) = 0.866
sin(660) = -0.5
Now, we substitute these values back into the expression:
(-0.5 - 0.866) / (-0.5)
Further simplifying the expression, we get:
-1.366 / (-0.5)
To divide by a fraction, we can multiply by its reciprocal:
-1.366 * (-2)
This gives us:
2.732
Therefore, the simplified value of the expression is 2.732.