The point (-7, -24) is on the terminal ray of angle θ which is in standard position. A student found the six trigonometric values for angle θ. The student’s answers are shown.>
Which value(s) are incorrect?>>
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Answers
Given : The point (-7, -24) is on the terminal ray of angle θ which is in standard position.
To Find : six trigonometric values for angle θ
Solution:
The point (-7, -24) is on the terminal ray of angle θ
Base = - 7 , Perpendicular = - 24
Hypotenuse = √(-7)² +(-24)² = 25
Sin θ = -24/25 = Perpendicular / hypotenuse
Cos θ = -7/25 = Base / hypotenuse
tan θ = 24/7 = Perpendicular / Base
Cot θ = 7/24 = Base / Perpendicular
Cosec θ = -25/24 = hypotenuse / Perpendicular
Secθ = - 25/7 =hypotenuse / base
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