Considering 0° <x< 180 angle of cos x = 0.5877852 theta value is
Answers
Answer:
The correct answer is 54
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Step-by-step explanation:
Measurement and Geometry : Module 25Year : 10
June 2011
PDF Version of module
Assumed Knowledge
Motivation
Content
Angles in the four quadrants
The four quadrants
The reciprocal ratios
Angles of any magnitude
Finding angles
The trigonometric functions
SOLUTION
a 150° lies in the second quadrant so cos 150° is negative.
b 300° lies in the fourth quadrant so sin 300° is negative.
c235° lies in the third quadrant so tan 235° is positive.
The angle shown is now greater than 360°. The point P, however, is back in the first quadrant. By considering the coordinates of P, we see that adding 360° to the angle does not change the x and y coordinates of P. Hence, for any θ,
sin (360° + θ) = sin θ and cos (360° + θ) = cos θ
and so tan (360° + θ) = tan θ.