Question

if a+ b= 90° and tan a=¾ what is value of cot b​

Answer 1

       

Here, a + b = 90°.

So assume a right triangle of angles a, b, and 90°.

Let the sides opposite and adjacent to angle a be 3 and 4 respectively.

Because, in tan a = 3/4, 3 is the opposite side and 4 is the adjacent side.

According to the angle b, adjacent and opposite sides become 3 and 4 respectively.

∴ cot b = 3/4.

There's no need for such an explanation. Seen below is the simple method for such questions.

If a + b = 90°, then tan a = cot b.

∴ Here, cot b = tan a = 3/4.

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