Question

cosec(15π/4) find value​

Answer 1

Step-by-step explanation:

15π/4 in degree form will be: 675° by the formula:

Angle in Degree = Angle in Radian × 180°/π

Therefore, we now need to find the value of Cosec(675°)

As we know that Cosec is the inverse of Sin and Sin function repeate itself after every 2π or 360° interval,

We can write it as, Cosec(2×360 - 675)

The Cosec function will repeat itself after 720° also, therefore, it will become, Cosec(-45°)

The value of Cosec(-45°) is (-1/√2).

Therefore the final answer is (-1/√2)

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