TRIGONOMETRY

QUESTION:

In a triangle ABC, A = 45o, then the value of (1 + cot B)(1 + cot C) is equal to?

OPTIONS:

  • 0
  • 1
  • -1
  • 2

CORRECT OPTION:

2

EXPLANATION:

Easiest way to solve such questions is to assume angles of triangle.

A = 45o

A + B + C = 180o

B + C = 180 – 45o = 135o

Let’s take, B = 90o & C = 45o

= (1 + cot 90o) (1 + cot 45o)

= (1 + 0) (1 + 1)

= 1 x 2 = 2

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