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What is the Value of Sec 0 Degrees ?

Solution :

The value of Sec 0 degrees is equal to 1.

Proof :

A is made smaller and smaller in the right Δ ABC till it becomes zero. As A gets smaller and smaller the length of the side BC decreases. The point C gets closer to the point B and finally when A becomes very close to 0 degrees, AC becomes almost the same as AB, and BC gets very close to 0.

0 degrees

By using trigonometric formula,

Sec A = hypotenusebase = hb

AC is nearly becoming the same as AB.

Sec A = ACAB = ABAB = 1

Hence,  sec0 = 1

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