Question #6452748Fill 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 whose tangent value is 1.
The main focus is on connecting exact tangent values to their corresponding special angles.
This question involves finding an acute angle whose tangent value is 1.
The main focus is on connecting exact tangent values to their corresponding special angles.
Key Concept Explanation
An acute angle (between 0 and radians) with is a 45° angle, which is radians. This comes from a 45-45-90 isosceles right triangle, where the opposite and adjacent sides to the 45° angle are equal—so their ratio (tangent) is 1.
An acute angle (between 0 and radians) with is a 45° angle, which is radians. This comes from a 45-45-90 isosceles right triangle, where the opposite and adjacent sides to the 45° angle are equal—so their ratio (tangent) is 1.
Step-by-step Solution
1. Recall that means
1. Recall that means
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