If sin theta is 6/7 and theta is an accute angle of 7 find the other five trignometeric
Answers
Answer:
Step-by-step explanation:
Actually the name of the angle is unimportant so we can call it “theta” or “A” etc
I will use “A”. Make a circle of radius 7 with center at (0,0) and label the ordinate of the point where the circle and angle meet in quadrant I as v. u is the abscissa of this point.
We have sinA = 6/7 which is v/r (in the circle of radius 7 and r is the hypotenuse of the right triangle formed in quadrant I) so to find u (the abscissa of the point where the angle A intersects the circle of radius 7 centered at (0,0) can be found by the quadratic equation. So u^2 + 36 = 49 …..u^2 = 13 and u=squareroot (13). Now
cosA = root(13)/7
tanA = 6/root(13)
cot A = root(13)/6
sec A = 7/root(13)
csc A = 7/6
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