Prove that cos(sin A) > sin(cos A) for all A in the set [0,π/2]
Sharmila , 7 Years ago
Grade 11
Trigonometry> Prove that cos(sin A) > sin(cos A) for al...
1 Answers
Arun
Last Activity: 7 Years ago
We know that
sin A+ cos A 
2 (a sinx+ b cosx (a2+b2)
sin A+ cos A 
/2
sin A /2 –cos A
taking cos both the sides
cos(sin A) > cos(/2 –cosA) (inequality sign changes because on icreasing angle , cos value will decrease)
cos(sin A) > sin(cos A)
hence proved
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