If sin2x=2024/2025, where value of x is from 5pie by 4 to 9pie by 4, the value of the sinx-cosx is equals?

CBSE Class 11-science Answered

If sin2x=2024/2025, where value of x is from 5pie by 4 to 9pie by 4, the value of the sinx-cosx is equals?

Asked by ajayagarwal1970 | 07 Jul, 2014, 12:08: AM

Expert Answer

$C o n s i d e r space t h e space e x p r e s s i o n space open parentheses sin x minus cos x close parentheses squared : open parentheses sin x minus cos x close parentheses squared equals sin squared x minus 2 sin x cos x plus cos squared x space space space space space space space space space space space space space space space space space space space space equals sin squared x plus cos squared x minus sin 2 x space space space space space space space space space space space space space space space space space space space space space equals 1 minus sin 2 x space space space space space space space space space space space space space space space space space space space space space equals 1 minus 2024 over 2025 space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 2025 minus 2024 over denominator 2025 end fraction space space space space space space space space space space space space space space space space space space space space space equals 1 over 2025 s i n x minus cos x equals square root of 1 over 2025 end root sin x minus cos x equals 1 over 45$

Answered by Vimala Ramamurthy | 07 Jul, 2014, 08:55: AM