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2 trig questions help please?
give and example of a real number theta for which cos(theta) is positive and sin(theta) is negative and give an example of a real number theta for which cos(theta) is negative and sin(theta) is positive
Please help??
4 Answers
- DWReadLv 76 years agoFavorite Answer
sinθ is positive when θ is in quadrants I and II, and negative when θ is in quadrants III and IV.
cosθ is positive when θ is in quadrants I and IV, and negative when θ is in quadrants II and III.
- PhilipLv 66 years ago
Visualize the coordinate system. There are 4 quadrants. I shall enumerate them in a counter-clockwise fashion
starting with lower right, then upper right, upper left and lower left. Now we label the quadrants starting with C in
lower right, A in upper right, S in upper left and T in lower left. C stands for Cosine, A stands for All, S stands
for Sin, T stands for Tangent. The CAST system tells you which functions are positive in that quadrant. Note
that if a given function is positive in a given quadrant, it's reciprocal function is also positive. For example, in
quadrant marked S, sin is pos. and so is csc {= 1/sin}. Functions and their reciprocal functions always have
the same sign since their product is always 1.
- ?Lv 76 years ago
Think of points on the unit circle.
x = cos(theta)
y = sin(theta)
cos(theta) is positive X
sin(theta) is negative Y
Quadrant 4: - pi/4
cos(theta) is negative X
sin(theta) is positive Y
Quadrant 2: 3pi/4