All trigonometrical elements

Geometry Level 3

∣ sin ⁡ ( x ) + cos ⁡ ( x ) + tan ⁡ ( x ) + cot ⁡ ( x ) + sec ⁡ ( x ) + csc ⁡ ( x ) ∣ |\sin (x) + \cos (x)+ \tan (x) + \cot (x) + \sec (x )+ \csc (x)| Find the minimum value of the above expression for all real x x .

0 2 2 + 1 2 \sqrt 2 +1 2 2 − 1 2\sqrt 2 -1 2 \sqrt 2

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Sandeep Bhardwaj by Sandeep Bhardwaj , 28, India

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2 solutions

Aman Deep Singh
Dec 11, 2015

7 Helpful 0 Interesting 0 Brilliant 0 Confused

I couldn't get latex to work correctly, open the image in a new tab to view the solution clearly

Aman Deep Singh - 5 years, 6 months ago

I got A but I marked D don't know why....:(

Dhruv Joshi - 4 years, 2 months ago
Bhavanshu Jain
May 3, 2017

Very good problem

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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