Use a calculator to find: θ if θ = csc-1 1.7516. θ = _____°. Round to three decimal places.
Hmmm. then sinTheta =1/1.7516=0.571
now try your calculator arcsin, or sin^-1 funcition. make certain you are in degrees mode.
To find the value of θ if θ = csc^(-1)(1.7516), we need to use a calculator that has trigonometric functions. Here's how you can find the answer using a scientific calculator:
1. Turn on your scientific calculator.
2. Locate the csc^(-1) (or arcsin) function on your calculator. It is usually denoted as "sin^(-1)" or "arcsin".
3. Enter the value 1.7516 into your calculator.
4. Press the csc^(-1) or arcsin button. Your calculator should give you the result in radians.
5. If the resulting value is in radians, convert it to degrees by multiplying it by 180/π (approximately 57.296).
For example, if your calculator gives you θ = 1.064 in radians, multiply it by 180/π to convert it to degrees:
θ = 1.064 * (180/π) ≈ 60.994°
So, rounding to three decimal places, θ ≈ 60.994°.