Question

state why the value of cosec A is never less than 1 ? ( A is an acute angle)

Answer 1

Sine and Cosine are the trignomatric ratios, whose values are less that 1 for an acute angle.

An acute angle is angle greater than 0 degree but less than 90 degrees. Since both Sine and Cosine has the value 1 at angles 90 degrees and 0 degree respectively. But these angles aren't acute angles.

Tangent and Cotangent has value 1 at angle 45 degrees.

And Secant and Cosecant don't have their values less than 1 at any angle.

The values of sine and cosine of all angles between 1 and 89 degrees are all less than 1.0. Sine 90 = 1. cos 0 = 1. But in case of tan, it is less than 1 upto 44 deg. Tan 45 = 1.0 and thereafter from 46 to 89 the tan values keep on increasing pretty fast. At 90 deg, the tan value is not defined.

In case of cosec, sec and cot, the values are reciprocals of sine, cos and tan values, respectively. So the values will be more than 1.0.

PLEASE MARK BRAINLIEST