Question 644905: suppose sin t=2/7 and cos t < 0. find each of the following values: cos t, tan t, csc t, sec t, cot t.
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! suppose sin t=2/7 and cos t < 0. find each of the following values: cos t, tan t, csc t, sec t, cot t.
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If sin>0 and cos<0, reference angle is in quadrant II
Given sin t=2/7
cos t=-√(1-sin^2t)
=-√(1-4/49)
=-√(49/49-4/49)
=-√(45/49)
=-√45/7
tan t=sin t/cos t=-2/√45
csc t=1/sin t=7/2
sec t=1/cos t=-7/√45
cot t=1/tan t=-45/√2
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