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ત્રિકોણમિતીય વિધેયોના વિશિષ્ટ મૂલ્યો અને આલેખો

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ગણિત ધોરણ 11 સેમિસ્ટર 1

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ગણિત

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ત્રિકોણમિતીય વિધેયોના વિશિષ્ટ મૂલ્યો અને આલેખો
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સાબિત કરો કે, open parentheses bold 3 bold space bold cos bold space bold pi over bold 3 bold space bold sec bold space bold pi over bold 3 bold space bold minus bold space bold 4 bold space bold sin bold space bold pi over bold 6 bold space bold tan bold space bold pi over bold 4 close parentheses bold space bold italic c bold italic o bold italic s bold space bold 2 bold pi bold space bold equals bold space bold 1

open parentheses bold 3 bold space bold cos bold space bold pi over bold 3 bold space bold sec bold space bold pi over bold 3 bold space bold minus bold space bold 4 bold space bold sin bold space bold pi over bold 6 bold space bold tan bold space bold pi over bold 4 close parentheses bold space bold cos bold space bold 2 bold pi bold equals bold space open parentheses bold 3 bold space bold cross times bold space bold 1 over bold 2 bold space bold cross times bold space bold 2 bold space bold minus bold space bold 4 bold space bold cross times bold space bold 1 over bold 2 bold space bold cross times bold space bold 1 close parentheses bold space open parentheses bold 1 close parentheses bold equals bold space bold 3 bold space bold minus bold space bold 2 bold equals bold space bold 1
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    Answer
    • open parentheses bold sin bold space bold pi over bold 6 bold space bold plus bold space bold cos bold space bold pi over bold 6 close parentheses bold space open parentheses bold sin to the power of bold 2 bold space bold pi over bold 6 bold space bold minus bold space bold sin bold space bold pi over bold 6 bold space bold cos bold space bold pi over bold 6 bold space bold plus bold space bold cos to the power of bold 2 bold space bold pi over bold 6 close parentheses ની કિંમત શોધો.
    Answer
    • bold 2 bold space bold sin to the power of bold 2 bold space bold pi over bold 4 bold space bold plus bold space bold 2 bold space bold cos to the power of bold 2 bold space bold pi over bold 4 bold space bold plus bold space bold sec to the power of bold 2 bold space bold pi over bold 3 નું મૂલ્ય મેળવો.
    Answer
    • bold sec bold space bold pi over bold 6 bold space bold tan bold space bold pi over bold 3 bold space bold plus bold space bold sin bold space bold pi over bold 4 bold space bold cosec bold space bold pi over bold 4 bold space bold plus bold space bold cos bold space bold pi over bold 6 bold space bold cot bold space bold pi over bold 3 નું મૂલ્ય મેળવો.
    Answer

    • સાબિત કરો કે, bold italic c bold italic o bold italic s bold space bold pi over bold 3 bold space bold italic c bold italic o bold italic s bold space bold pi over bold 4 bold space bold plus bold space bold italic s bold italic i bold italic n bold space bold pi over bold 3 bold space bold italic s bold italic i bold italic n bold space bold pi over bold 4 bold space bold equals bold space fraction numerator square root of bold 3 bold space bold plus bold space bold 1 over denominator bold 2 bold space square root of bold 2 end fraction

    Answer
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