sin A = cos B , then cot [ A+ B ]
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I hope this question is from the topic "TRIGONOMETRIC RATIOS OF COMPLEMENTARY ANGLES". So, here we can say, "A" and "B" are two angles which both adds up with each other to result 90°. In mathematical way, we can illustrate the above fact as A+B = 90°. The angles which adds up with each other to result 90° is termed as COMPLEMENTARY ANGLE. So, we are all known now, and we will proceed to our actual solution. Lets see the solution.
As I said above, A + B = 90°
=> A = 90° - B
Now, cot (A+B)
= cot (90°-B+B)
= cot 90°
= 0 [REQUIRED ANSWER]
As I said above, A + B = 90°
=> A = 90° - B
Now, cot (A+B)
= cot (90°-B+B)
= cot 90°
= 0 [REQUIRED ANSWER]
srikpnarayana:
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