Give the expression for one of the three functions sin θ, cos θ, or tan θ, with θ in the first quadrant. Find expressions for the other two functions. Your answer will be algebraic expressions in terms of x.
a) x = 2 cos θ
b) x = 9 tan θ
What are we suppose to do? I don't get what the x in front of the equation and the variables such as "2" and "9" in front of the cos and tan mean. And how would we solve it for the other two trig functions? Please help me with this and show your work. Thank you so much!
So . You can think of as an angle in a right triangle with "near side" x and hypotenuse of length 2. By the Pythagorean formula, the "opposite side" has length . You can get all trig functions from that.
Now . A right triangle with opposite side of length x and near side of length 9 has hypotenuse of length . Again, you can get all trig functions from that.b) x = 9 tan θ
Seriously? the "2" and the "9" multiply the trig functions. If you don't know that you should not be taking trigonometry!What are we suppose to do? I don't get what the x in front of the equation and the variables such as "2" and "9" in front of the cos and tan mean.
And how would we solve it for the other two trig functions? Please help me with this and show your work. Thank you so much!