Use the appropriate reciprocal identity to find the approximate value of sin θ for the given value of csc θ. Use a calculator.
csc θ = 2.15750581
man, they told you what to do.
sinθ = 1/cscθ = 1/2.15750581 = ...
Step 1: Start with the reciprocal identity for sine:
csc θ = 1/sin θ
Step 2: Rearrange the equation to solve for sin θ:
sin θ = 1/csc θ
Step 3: Substitute the given value of csc θ:
sin θ = 1/2.15750581
Step 4: Use a calculator to calculate the reciprocal:
sin θ ≈ 0.46369
To find the approximate value of sin θ for the given value of csc θ, we can use the reciprocal identity for sine.
Reciprocal identity for sine:
sin θ = 1 / csc θ
In this case, csc θ = 2.15750581, so we can substitute this value into the reciprocal identity:
sin θ = 1 / 2.15750581
To find the approximate value of sin θ, we can use a calculator. Enter 1 ÷ 2.15750581 in your calculator and press the appropriate button to get the result. For example, if you are using a scientific calculator, you would press the "1/x" button. The result will give you the approximate value of sin θ.
Please note that the result will depend on the accuracy of your calculator and the number of decimal places displayed.