cot θ = 1 implies tan θ = 1, which occurs at θ = 45°.
If cot θ = 1, what is the value of θ?
Practice Questions
Q1
If cot θ = 1, what is the value of θ?
0°
45°
90°
180°
Questions & Step-by-Step Solutions
If cot θ = 1, what is the value of θ?
Step 1: Understand that cotangent (cot) is the reciprocal of tangent (tan).
Step 2: If cot θ = 1, then tan θ must also equal 1 because cot θ = 1 means tan θ = 1.
Step 3: Recall the angle where tan θ = 1. This occurs at 45 degrees.
Step 4: Therefore, if cot θ = 1, then θ = 45°.
Trigonometric Functions – Understanding the relationship between cotangent and tangent functions, and their values at specific angles.
Angle Measurement – Recognizing that angles can be expressed in degrees or radians, and knowing the common angles where trigonometric functions have specific values.
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