Math Problem Statement
No it’s sin -5/13
Solution
Thank you for the correction! Let's solve the problem with the correct information that .
Updated Problem Summary:
We are given that with in the fourth quadrant. We need to evaluate the expression:
Step 1: Determine the other trigonometric values
Given:
Since , the opposite side is and the hypotenuse is . To find the adjacent side , we use the Pythagorean theorem:
Since is in the fourth quadrant, the adjacent side is positive. So, .
Now, we can find the other trigonometric ratios:
Step 2: Evaluate the required expression
We now substitute these values into the expression:
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Secant:
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Sin:
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Tangent:
Step 3: Combine all the terms
Now, let's add them together:
Convert into a fraction with denominator 12:
Now, the expression is:
Simplify the fraction:
Final Answer:
Would you like any additional explanations or have any further questions?
Here are some related questions that might interest you:
- Why is it important to determine the correct quadrant when evaluating trigonometric functions?
- How do you simplify trigonometric expressions involving multiple operations?
- What are the typical steps to verify if your trigonometric identities are correct?
- How can the Pythagorean theorem be applied in different contexts?
- Can you explain the relationship between and in different quadrants?
Tip: When dealing with trigonometric functions, always make sure to account for the signs based on the quadrant in which the angle lies.
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Trigonometric Identities
Quadrants
Formulas
Pythagorean theorem
Theorems
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Suitable Grade Level
Grades 10-12
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