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I need help with this simple trig. equation.?
y= sin πx + cos πx---Starting equation
0=sin πx+ cos πx--- Set equal to zero
Should I subract sin or cos? Or should I use the reciprocal properties?
I'm not sure what to do. Oh and I am finding the x-intercepts of this equation using the unit circle.
2 Answers
- operalphLv 41 decade agoFavorite Answer
Well, in substituting 0 for y, it's pretty clear that your'e looking for the x-intercepts, since any graph intercepts the x-axis when y is 0.
Really, all you need to do is find where sinx and cosx are opposites. (another way would be to find the values of x where tanx or cotx is -1). This will only happen in the second and fourth quadrants, at 135 and 315 degrees: or, if you want to put that into radians, 3pi/4 and 7pi/4.
- ?Lv 44 years ago
Qu a million 0.643 + sin x = a million sin x = 0.357 x = 20.9 ° , 159.a million ° Qu 2 2 cos x + 2.75 = 3 2 cos x = 0.25 cos x = 0.a hundred twenty five x = 80 two.8 ° , 277.2 ° Qu 3 3 tan x + 0.643 = 3 3 tan x = 2.357 tan x = 0.786 x = 38.2 ° , 218.2 ° playstation reliable success with try !