The maximum value of cosec θ1, (0≤θ≤90∘) is :
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Step-by-Step Solution
Step 1: Rewrite the expression
We know that the reciprocal of cosecant is sine. Therefore, the given expression can be rewritten as sinθ.
Step 2: Determine the range of θ
The problem states that the angle θ lies in the range from 0∘ to 90∘, inclusive. This is the first quadrant.
Step 3: Find the maximum value of sinθ
In the first quadrant (0∘≤θ≤90∘), the sine function starts at 0 (for θ=0∘) and increases to its maximum value of 1 (for θ=90∘).