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ПАшОк200
@ПАшОк200
August 2022
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(sin 8-sin 12+sin16)/(cos 8-cos 12+cos 16)=tg12 помогите, СРОЧНО
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oganesbagoyan
Verified answer
(sin 8-sin 12+sin16)/(cos 8-cos 12+cos 16)=tg12. (тождество)
------------
(sin 8-sin 12+sin16)/(cos 8-cos 12+cos 16) =
( (sin16+sin8) -sin 12) )/( (cos 16+cos 8) -cos 12) =
( 2sin (16+8)/2 *cos(16-8)/2-sin 12 ) /(2cos(16+8)/2*cos(16 -8)/2-cos12)=
( 2sin 12 *cos4 - sin 12 ) /(2cos12*cos4 -cos12)=
2sin 12(cos4 - 1) /(2cos12(cos4 -1) =tg12.
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Answers & Comments
Verified answer
(sin 8-sin 12+sin16)/(cos 8-cos 12+cos 16)=tg12. (тождество)------------
(sin 8-sin 12+sin16)/(cos 8-cos 12+cos 16) =
( (sin16+sin8) -sin 12) )/( (cos 16+cos 8) -cos 12) =
( 2sin (16+8)/2 *cos(16-8)/2-sin 12 ) /(2cos(16+8)/2*cos(16 -8)/2-cos12)=
( 2sin 12 *cos4 - sin 12 ) /(2cos12*cos4 -cos12)=
2sin 12(cos4 - 1) /(2cos12(cos4 -1) =tg12.