find theta in radians to the nearest tenth if: sec(theta) = 1.4231
is this correct:
enter into calculator: cos^(-1)= 1/1.4231
get .7916232503, rounded to the nearest tenth = .8
I agree
However, remember that there are multiple answers to these kind of questions,
for the standard domain from 0 to 2pi, there would be another in the fourth quadrant, namely 2pi-.7916 = 5.4916
to check, take cos(5.4916), then press your reciprocal key (1/x) on your calculator
To find theta in radians given sec(theta) = 1.4231, you can use the inverse function of secant, which is cosine. Here's the step-by-step process:
1. Start by entering "1/1.4231" into your calculator. This is because sec(theta) is equal to 1 divided by the value given.
2. Next, use the inverse cosine function (cos^(-1)) on the result obtained from the previous step. This will give you the angle in radians.
3. Perform the calculation and obtain the approximate value of .7916232503.
4. Lastly, round this value to the nearest tenth, which gives us approximately 0.8.
Therefore, the correct value for theta in radians, rounded to the nearest tenth, is 0.8.