Determine the Value of $sec( heta)$ Given the Coordinates on the Unit Circle
Answer 1
Lucas Brown
Given a point on the unit circle with coordinates (0.6, 0.8), determine the value of $\sec(\theta)$.
Step 1: Recall the definition of the point on the unit circle: $(\cos(\theta), \sin(\theta))$.
Thus, $\cos(\theta) = 0.6$.
Step 2: Recall the definition of secant in terms of cosine: $\sec(\theta) = \frac{1}{\cos(\theta)}$.
Step 3: Substitute $\cos(\theta)$ into the secant definition: $\sec(\theta) = \frac{1}{0.6} = \frac{5}{3}$.
Therefore, $\sec(\theta) = \frac{5}{3}$.
Answer 2
Thomas Walker
Given a point on the unit circle with coordinates (0.6, 0.8), find the value of $sec( heta)$.
Step 1: Identify $cos( heta)$ from the unit circle coordinates: $(cos( heta), sin( heta)) = (0.6, 0.8)$.
So, $cos( heta) = 0.6$.
Step 2: Use the relationship: $sec( heta) = frac{1}{cos( heta)}$.
Step 3: Substitute the value: $sec( heta) = frac{1}{0.6} = frac{5}{3}$.
Thus, $sec( heta) = frac{5}{3}$.
Answer 3
Samuel Scott
Find $sec( heta)$ for a point on the unit circle (0.6, 0.8).
Since $cos( heta) = 0.6$:
$sec( heta) = frac{1}{0.6} = frac{5}{3}$.
Start Using PopAi Today