MaherS577799 MaherS577799
  • 30-10-2022
  • Mathematics
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HELP!!!! The point P lies on the terminal side of the angle. Find the valueof the trigonometric function: P(-(5),5),cot (theta)

HELP The point P lies on the terminal side of the angle Find the valueof the trigonometric function P55cot theta class=

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QuestN428501 QuestN428501
  • 30-10-2022

Answer:

A. 1

Explanation:

Given the point P(-5,5), this falls in the second quadrant.

Accoording to pythagoras theorem;

r^2 = x^2 +_ y^2

r^2 = (-5)^2 + 5^2

r^2 = 25 + 25

r^2 = 50

r = \sqrt[50]

r = 5\sqrt[5]

Get cot theta;

cot theta = 1/tan theta

in the second quadrant, tan theta = y/-x

tan theta = 5/-(-5)

tan theta = 5/5

tan theta = 1

Recall that cot theta = 1/tan theta

cot theta = 1/1

cot theta = 1

Hence the correct option is A

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