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Prove it :- cos ( 3€/ 4 + x ) - cos ( 3€ / 4 - x ) = -root 2 sin x ( € refers to pi ) ?
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Prove it :- cos ( 3€/ 4 + x ) - cos ( 3€ / 4 - x ) = -root 2 sin x ( €...
To prove-->cos (3Π/4+x)-cos (3Π/4-x)=-√2sin x,
LHS=
cos(3Π/4+x)-cos (3Π/4-x),
{ we know that-->cos x-cosy=-2sin x+y/2.sin x-y/2},
by assuming 3Π/4+x=x and 3Π/4-x=y,
-2sin 3Π/4+x+3Π/4-x/2.sin 3Π/4+x-3Π/4-x/2,
=-2sin (3Π/2/2)sin(2x/2),
=-2sin(135 degree)sinx,
{sin(135 degree)=sin(180-45)=sin45},
=-2sin45 degree sinx,
=-2×1/√2.sinx,
=-√2sinx
LHS=
cos(3Π/4+x)-cos (3Π/4-x),
{ we know that-->cos x-cosy=-2sin x+y/2.sin x-y/2},
by assuming 3Π/4+x=x and 3Π/4-x=y,
-2sin 3Π/4+x+3Π/4-x/2.sin 3Π/4+x-3Π/4-x/2,
=-2sin (3Π/2/2)sin(2x/2),
=-2sin(135 degree)sinx,
{sin(135 degree)=sin(180-45)=sin45},
=-2sin45 degree sinx,
=-2×1/√2.sinx,
=-√2sinx
Community Answer
Prove it :- cos ( 3€/ 4 + x ) - cos ( 3€ / 4 - x ) = -root 2 sin x ( €...
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Prove it :- cos ( 3€/ 4 + x ) - cos ( 3€ / 4 - x ) = -root 2 sin x ( € refers to pi ) ?
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Prove it :- cos ( 3€/ 4 + x ) - cos ( 3€ / 4 - x ) = -root 2 sin x ( € refers to pi ) ? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Prove it :- cos ( 3€/ 4 + x ) - cos ( 3€ / 4 - x ) = -root 2 sin x ( € refers to pi ) ? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Prove it :- cos ( 3€/ 4 + x ) - cos ( 3€ / 4 - x ) = -root 2 sin x ( € refers to pi ) ?.
Prove it :- cos ( 3€/ 4 + x ) - cos ( 3€ / 4 - x ) = -root 2 sin x ( € refers to pi ) ? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Prove it :- cos ( 3€/ 4 + x ) - cos ( 3€ / 4 - x ) = -root 2 sin x ( € refers to pi ) ? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Prove it :- cos ( 3€/ 4 + x ) - cos ( 3€ / 4 - x ) = -root 2 sin x ( € refers to pi ) ?.
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