Question

Why tan(π/4) = 1 can you explain it simply? Also can we use it with cos, cot, sin, sec and cosec? Thanks! please, please dont write random answers it may be reported.

Answer 1

1) tan π/4 = 1

2) cos π/4 = 0.7071

3) cot π/4 = 1

4) sin π/4 = 0.7071

5) sec π/4 = 1.4142

6) cosec π/4 = 1.4142

Explanation:

Angle π is in radians

But converting to degree, it is;

π = 180˚

Thus; π/4 = 180/4 = 45°

Thus;

1) from calculator; tan π/4 = tan 45° = 1

2) from calculator, cos π/4 = cos 45° = 0.7071

3) cot is equivalent to 1/tan

Thus; cot π/4 = 1/(tan π/4) = 1/tan 45 = 1/1 = 1

4) from calculator, sin π/4 = sin 45° = 0.7071

5) sec in trigonometry is equivalent to 1/cos.

Thus;

sec π/4 = 1/cos π/4 = 1/cos 45° = 1/0.7071 = 1.4142

6) cosec in trigonometry is equivalent to 1/sin

Thus;

cosec π/4 = 1/sin π/4 = 1/sin 45° = 1/0.7071 = 1.4142