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sqrt(1+sinA)=-("sin"(A)/(2)+"cos"(A)/(2))is true if |
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Answer» `(3PI)/(2)ltAlt(5pi)/(2)`only We know ,`1+sinA=("cos"(A)/(2)+"sin"(A)/(2))^(2)` `thereforesqrt(1+sinA)=|"cos"(A)/(2)+"sin"(A)/(2)|` We KOW . `|X|={{:(x ifxge0,),(-x iflt0,):}` `|"sin"(A)/(2)+"cos"(A)/(2)={{:("sin"(A)/(2)+"cos"(A)/(2)",",if2npi-(pi)/(4)le2npi+(3pi)/(4)),(-("sin"(A)/(2)+"cos"(A)/(2))",",if"otherwise"):}` `thereforesqrt(1+sinA)=-("sin"(A)/(2)+"cos"(A)/(2))` when `(3pi)/(4)lt(A)/(2)lt(7pi)/(4)` `RARR(3pi)/(2)ltAlt(7pi)/(2)`. |
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