minima

find the minimum value of (3sinx-4cosx-10) * (3sinx+4cosx-10)

2 Answers

106
Asish Mahapatra ·

writing as:

(9sin2x+100-60sinx) - 16cos2x

=> 25sin2x - 60sinx + 84

min. when sinx=1.. (1 is closer to 60/50)

=> min value = 49

1
Manmay kumar Mohanty ·

I GOT THE SAME YAAR.
BUT WAS CONFUSED IF sin x = 60/50 as it is not possible

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