Given that sinA = 5/13 and cosB = -4/5, where A and B are in the same quadrant, What is the value of cosA?
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Answer: cosA= -12/13
Step-by-step explanation:
Sin is positive and cos is negative means A and B lies in the 2nd Quadrant.
sin²A+cos²A=1
25/169+cos²A=1
cos²A=1-25/169
cos²A=144/169
So, the value of cosA could be 12/13 or -12/13
Since, A lies in the 2nd quadrant value of cos A will be negative.
So, ans will be -12/13
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