Question

Calculati:
a) sin 30°•tg45°+cos30°•ctg60°=
b) sin60°•cos60°+sin30°•cos30°-sin45°•cos45°=
AJUTOR URGENT DAU TEST IMEDIAT .​

Answer 1

Explicație pas cu pas:

$sin 30° \times tg45°+cos30° \times ctg60° = \frac{1}{2} \times 1 + \frac{ \sqrt{3} }{2} \times \frac{ \sqrt{3} }{3} = \frac{1}{2} + \frac{1}{2} = 1$

$sin60° \times cos60°+sin30° \times cos30°-sin45° \times cos45° = \frac{ \sqrt{3} }{2} \times \frac{1}{2} + \frac{1}{2} \times \frac{ \sqrt{3} }{2} - \frac{ \sqrt{2} }{2} \times \frac{ \sqrt{2} }{2} = \frac{ \sqrt{3} }{4} + \frac{ \sqrt{3} }{4} - \frac{1}{2} = \frac{ \sqrt{3} }{2} - \frac{1}{2} = \frac{ \sqrt{3} - 1}{2}$

Answer 2

Răspuns:

Explicație pas cu pas: