Math Problem Statement
Use a calculator to find sec(53°47') and round the answer to four decimal places.
Solution
The question is asking to find the value of and round it to four decimal places.
Steps to solve:
-
Convert Degrees and Minutes to Decimal Degrees: The angle given is , where:
- is the degree part.
- is the minute part.
To convert minutes to decimal degrees:
-
Find the Secant: The secant function is the reciprocal of the cosine function, so:
-
Use a Calculator: First, calculate : Then, find the secant:
So, .
Would you like further details on any steps?
Here are five related questions:
- How do you convert degrees and minutes into radians?
- Can you find the sine and cosine of the angle ?
- What is the tangent of ?
- How is secant related to sine and tangent?
- Can you explain why secant is the reciprocal of cosine?
Tip: Always remember to switch your calculator to degree mode when working with degrees!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Trigonometry
Secant Function
Angle Conversion
Formulas
Decimal Degrees = Degrees + (Minutes / 60)
sec(θ) = 1 / cos(θ)
Theorems
-
Suitable Grade Level
High School (Grades 10-12)