SOLUTION: A right triangle has one of its acute angles labeled θ . The opposite side has length 1, and the hypotenuse has length 2. Find the values of the six trigonometric functions fo

Algebra ->  Trigonometry-basics -> SOLUTION: A right triangle has one of its acute angles labeled θ . The opposite side has length 1, and the hypotenuse has length 2. Find the values of the six trigonometric functions fo      Log On


   

Question 983893: A right triangle has one of its acute angles labeled θ . The opposite side has length 1, and the hypotenuse has length 2. Find the values of the six trigonometric functions for the angle θ .
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
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Using Pythagoras theorem ; %28adjacent+side%29%5E2 = 2%5E2-1%5E2
Adjacent side = sqrt%283%29
sin theta = opp/hypo = 1/2
costheta = adj/hypo= sqrt%283%29%2F2
tantheta+ = opp/adj = 1%2Fsqrt%283%29

cosec, sec and cot are reciprocals of sin cos & tan respectively
cosec theta =2
sectheta = 2%2Fsqrt%283%29
cottheta = sqrt%283%29