Допоможііітьь! Обчислити: A) sin135°+cos120° Б) 5sin30°+ctg135°. Created by nastyona0616. geometriya-ru

Допоможііітьь! Обчислити: A) sin135°+cos120° Б) 5sin30°+ctg135°...

nastyona0616 @nastyona0616

April 2022 1 19 Report

Допоможііітьь!
Обчислити:
A) sin135°+cos120°
Б) 5sin30°+ctg135°

Answers & Comments

Miroslava227

Ответ:

$\sin(135^{\circ} ) + \cos(120^{\circ} ) = \sin(180 ^{\circ} - 45^{\circ} ) + \cos(180^{\circ} - 60^{\circ} ) = \\ = \sin(45^{\circ} ) - \cos(60^{\circ} ) = \frac{ \sqrt{2} }{2} - \frac{1}{2}$

$5 \sin(30^{\circ} ) + ctg(135^{\circ} ) = 5 \sin(30^{\circ} ) - ctg(45^{\circ} ) = \\ = 5 \times \frac{1}{2} - 1 = 2.5 - 1 = 1.5$

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