Given that tan theta = -4/7, and 270° < theta < 360°, what is the exact value of sec theta
1 answer:
Answer:
sec Θ = 
Step-by-step explanation:
Using the trigonometric identity
sec²Θ = tan²Θ + 1
Since 270° < Θ < 360° ← that is fourth quadrant, then
sec Θ > 0, thus
sec²Θ = (-
)² + 1 =
+ 1 =
, then
sec Θ =
= 
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