Question

In a right triangle, if cos x = 1/2, then what is tan x?

Answer 1

The value of tan x when cos x= 1/2 is; √3

Right-angled triangles

From Trigonometric identities of right Triangles;

It follows that;

• cos x = adj/hyp

Hence, the opposite of angle X is;

• Opp = √(2²-1²)

• Opp = √3.

Hence, it follows that tan x;

• tan x = opp/adj = √3/1

Hence, the value of tan x = √3.

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