Question

Which aming the following number is an irrational number tan45° cos 90° sec60° sin 60°​

Answer 1

Answer:

sin60°=√3/2

Step-by-step explanation:

tan45°=1

cos90°=0

sec60°=2

sin60°=√3/2

      ∴√3/2 is irrational number.

Answer 2

sin60° is  √3 /2 Hence irrational while tan45°, cos 90° and sec60° are rational

Rational numbers are real numbers which can be written in the form p/q where p and q are integers and q≠0

All real numbers which are not rational  are irrationals.

Using trigonometric ratio values:

tan 45° = 1  =  1/1   is a rational number

cos 90° = 0  = 0/1  is a rational number

sec 60° = 2  = 2/1   is a rational number

sin 60° = √3 / 2   Numerator is not an integer hence not a rational number so it is irrational.

Hence sin 60° = √3 / 2 is irrational

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