If ,y=4/sin theta + cos theta then minimum value of y will be
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Given :
The equation , y = 4 / ( sin θ + cos θ )
To find :
The minimum value of y .
Solution :
The value of the y will be minimum when the denominator ( sin θ + cos θ ) will be maximum .
The maximum value of ( sin θ + cos θ ) is √2 when θ = π/4 .
The minimum value of y = 4 / √2
=> the minimum value of y = 2√2
The minimum value of y is 2√2 .
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