In the given triangle, ∠ACB = 90° and angle CAB = 60°, the value of cot ∠ABC is : 1. 2 2. 1 3. √3 4. 1/√3

Question

KnowledgeBoat · Accepted Answer

Let ∠ABC be `x`. Using the angle sum property of a triangle, which states that the sum of all angles in a triangle is 180°: ⇒ ∠CAB \+ ∠ ACB \+ ∠ ABC = 180° ⇒ 60° \+ 90° \+ x = 180° ⇒ 150° \+ x = 180° ⇒ x = 180° \- 150° ⇒ x = 30° Now, cot ∠ABC = cot 30° = Hence, option 3 is the correct option.

Mathematics

In the given triangle, ∠ACB = 90° and angle CAB = 60°, the value of cot ∠ABC is : 1. 2 2. 1 3. √3 4. 1/√3

Trigonometric Identities

Related Questions

The given figure, shows an isosceles triangle with angle ABC = 90°, the measure of angle BAC is :
30°
45°
60°
40°

In the given triangle, the length of AB is :
160 cm
120 cm
60 cm
40 cm

Mathematics

In the given triangle, ∠ACB = 90° and angle CAB = 60°, the value of cot ∠ABC is : 1. 2 2. 1 3. √3 4. 1/√3

Trigonometric Identities

Related Questions

The given figure, shows an isosceles triangle with angle ABC = 90°, the measure of angle BAC is :30°45°60°40°

In the given triangle, the length of AB is :160 cm120 cm60 cm40 cm

The given figure, shows an isosceles triangle with angle ABC = 90°, the measure of angle BAC is :
30°
45°
60°
40°

In the given triangle, the length of AB is :
160 cm
120 cm
60 cm
40 cm