give the missing value:
sin 54.2=? -->i think its 0.811 but i might be wrong.
sec 23.2=? --->i think its 1.08, but again, i could be wrong
and i have NO idea how to do these:
cot ? =-0.500
sec ?= 1.000
csc ?= 0.732
Are you angles in degrees or radians?
sin 54.2 degrees = 0.81106
sec 23.2 degrees = 1.08798
The angle with a secant of 1.000 also has a cosine of 1.000
No angle can have a csc of 0.743. The csc must exceed 1.
cot^-1 (0.500) = tan^-1 2.00
To find the missing values, let's break down each trigonometric function:
1. sin 54.2:
To find sin 54.2, you can use a scientific calculator or an online tool that allows you to input the angle in degrees. If you don't have access to any of these, you can use trigonometric identities to estimate the value of sin 54.2.
sin 54.2 is approximately equal to 0.8203. Therefore, your initial estimate of 0.811 is close but slightly off.
2. sec 23.2:
To find sec 23.2, you can use a similar approach. You can either use a calculator or use the reciprocal identity for secant.
sec 23.2 is approximately equal to 1.0591. Therefore, your initial estimate of 1.08 is close but slightly off as well.
3. cot ? = -0.500:
To find the unknown angle for cotangent, we need to use the inverse cotangent (or arccot) function. This function is usually denoted as cot^(-1) or arccot. Unfortunately, without knowing the value of the angle itself, we can't give an exact answer. The cotangent function returns negative values between (180n - 90) and (180n + 90), where n is an integer.
The inverse cotangent of -0.500 is approximately equal to 143.13 degrees or 143.13 + 180n degrees, where n is an integer. Therefore, the angle could be approximately 143.13 degrees, 323.13 degrees, etc.
4. sec ? = 1.000:
For secant, the only angle where sec ? = 1.000 is 0 degrees. This is because secant (sec) is equal to 1 over cosine (cos), and the cosine of 0 degrees is 1.
5. csc ? = 0.732:
To find the unknown angle for cosecant, we need to use the inverse cosecant (or arccsc) function. This function is usually denoted as csc^(-1) or arccsc. Similar to the cotangent, without knowing the value of the angle itself, we can't give an exact answer. The cosecant function returns values between (-90n - 90) and (-90n + 90), where n is an integer.
The inverse cosecant of 0.732 is approximately equal to 47.701 degrees or 312.299 degrees + 180n, where n is an integer. Therefore, the angle could be approximately 47.701 degrees, 312.299 degrees, etc.