At what value sin and cos is negative aur positive.
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zero is value sin and cos is negative nour positive.
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Changing the sign of θθ corresponds to going around in the other direction. Because θθ is measured from the positive xx-axis, all this does is to flip the endpoint over the xx-axis, as shown below.
Since cosine is the xx-component of PP, and sine is the yy component, flipping over the xx-axis will negate sinθsinθ, but not cosθcosθ. Hopefully this makes it clear why sine and cosine behave the way they do.
With tangent, just recall that tanθ=sinθcosθtanθ=sinθcosθ, and since only one part of the fraction gets a −− sign, the tangent gets one as well.
Changing the sign of θθ corresponds to going around in the other direction. Because θθ is measured from the positive xx-axis, all this does is to flip the endpoint over the xx-axis, as shown below.
Since cosine is the xx-component of PP, and sine is the yy component, flipping over the xx-axis will negate sinθsinθ, but not cosθcosθ. Hopefully this makes it clear why sine and cosine behave the way they do.
With tangent, just recall that tanθ=sinθcosθtanθ=sinθcosθ, and since only one part of the fraction gets a −− sign, the tangent gets one as well.
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