If cot = 1 and sec = −5/3, where < < 3 /2 and /2 < < , then the value of ( + ) and the quadrant in which + lies, respectively are :

JEE Main 2022 Mathematics question

If cot and sec = −5/3, where and , then the value of and the quadrant in which lies, respectively are :

Answer: (1)

cot with in the third quadrant gives tan . sec = −5/3 with in the second quadrant gives cos = −3/5, sin and tan = −4/3. So

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Question ID VK-034885