Question #6452765Fill in the Blank
Algebra-2
Question
If and is an acute angle, then _______ radians.
Answer & Analysis
Analysis
Question Analysis
This question involves finding an acute angle with a given exact tangent value.The main focus is on recalling the special angle associated with .
This question involves finding an acute angle with a given exact tangent value.The main focus is on recalling the special angle associated with .
Key Concept Explanation
The special angle (60°) is the only acute angle where . This comes from a 30-60-90 right triangle, where the side opposite 60° is times the side adjacent to 60°, making their ratio .
The special angle (60°) is the only acute angle where . This comes from a 30-60-90 right triangle, where the side opposite 60° is times the side adjacent to 60°, making their ratio .
Step-by-step Solution
1. Recall exact tangent values for acute special angles: .
2. Confirm
1. Recall exact tangent values for acute special angles: .
2. Confirm
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.
Practice Now - It's Free!