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Trignometric Ratios of Angles

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Which trigonometric ratios are negative for the angles: 315^@

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There are trignometrical equations that are nonstandard in aspect in that the equation may contain dissimilar terms, say algebric as well as trignometric expressions, or three may be only one equation in more than unknowns. In such cases we make use of the extreme values of trignometric functions or algebric functions. In particular |sinx| le 1, |cos x| le 1 , and maxima/minima of quadratic expressions are widely made use of The equation (sin(pix)/6)=x^(2)-6x+10 holds for

If sinA=-3/5 and A lies in third quadrant, find the remaining trignometric ratios.

If cosA=5/13 and A lies in fourth quadrant, find the remaining trignometric ratios.

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