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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

High School Mathematics - 2
10.8 Signs of Trigonometric Functions for Negative Angles

θsin θ cos θtan θ cosec θ sec θ cot θ
Signs of trigonometric functions for negative angles
Let P(x,y) be a point on the unit circle with centre at origin such that angle AOP = θ. If angle AOQ = -θ, then the co-ordinates of the point Q will be (x,-y). Hence
cos(-θ) = x = cosθ
sin(-θ) = -y = -sinθ
sinθ ++--
cosθ +--+
tanθ +-+-
cosecθ ++--
secθ +--+
cotθ +-+-
In the first quadrant, as θ increases from 0 to π/2, sinθ increases from 0 to 1.
In the second quadrant, as θ increases from to π/2 to π,to π sinθ decreases from 1 to 0.
In the third quadrant, as θ increases from π to 3π/2, sinθ decreases from 0 to -1.
In the fourth quadrant, sinθ increases from -1 to 0, as θ increases from 3π/2 to 2π.

Directions: Solve the following.
Q 1: If cos x = 5/13 and x lies in the fourth quadrant, find the value of (2 - 3 cot x)/(4 - 9(sec2-1)1/2

Question 2: This question is available to subscribers only!

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