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geometricaly derive the value of  sin 45
Asked by amolshukal.2001 | 01 Feb, 2018, 09:28: PM
answered-by-expert Expert Answer
begin mathsize 16px style Given colon space In space increment ABC comma space angle straight B equals 90 degree space and space angle straight A equals 45 degree Find colon space Trigonometric space ratios space of space 45 degree Proof colon space In space increment ABC comma space space space space space space space space space space space space space angle straight A plus angle straight B plus angle straight C equals 180 degree space space space space space space space space space space space space space 45 degree plus 90 degree plus angle straight C equals 180 degree space space space space space space space space space space space space angle straight C equals 45 degree space space space space space space space space space space space space angle straight A equals angle straight C equals 45 degree bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space Let space AB equals BC equals straight x space space space space space space space space space space space space Find space AC space using space Pythagoras comma space space space space space space space space space space space space AC squared equals AB squared plus BC squared space space space space space space space space space space space space AC squared equals straight x squared plus straight x squared space space space space space space space space space space space space AC squared equals 2 straight x squared space space space space space space space space space space space space AC equals square root of 2 straight x space space space space space space space space space space space space sinA equals BC over AC equals fraction numerator straight x over denominator square root of 2 straight x end fraction equals fraction numerator 1 over denominator square root of 2 end fraction space space space space space space space space space space space space angle straight A equals angle straight C equals 45 degree space space space space space space space space space space space space sinC equals fraction numerator 1 over denominator square root of 2 end fraction Similarly space you space can space find space out space remaining space trigonometric space ratios. end style
Answered by Sneha shidid | 02 Feb, 2018, 09:20: AM

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