Question

косинусы, синусы, тангенсы, катангенсы ​

Answer 1

1)

$4 cos^2 45 + 6 sin30 - 10 sin 60 = 4 * (\frac{\sqrt{2} }{2} ) ^2 + 6 * \frac{1}{2} - 10 * \frac{\sqrt{3} }{2} = 4 * \frac{2}{4} + 3 - 5\sqrt{3} = 2 + 3 - 5\sqrt{3} = 5 - 5\sqrt{3}$

2)

$5tg^245-7ctg45+12cos^260 = 5 * (1 )^2 - 7*1+12*(\frac{1}{2})^2 = 5 - 7 + 12 * \frac{1}{4} = 5 - 7 + 3 = 1$

3)

$8sin^230 - 4tg^2 60 + 9tg^230= 8 * (\frac{1}{2} )^2- 4 * (\sqrt{3} )^2+9*(\frac{1}{\sqrt{3} } )^2= 8 * \frac{1}{4} - 4 * 3+ 9* \frac{1}{3} = 2 - 12 + 3= -7$

4) $22sin60 +8cos30-4ctg30=22* \frac{\sqrt{3} }{2} +8*\frac{\sqrt{3} }{2} -4*\sqrt{3}= 11\sqrt{3}+4\sqrt{3}-4\sqrt{3} = 11\sqrt{3}$