[tex]a) \\sin(180-\alpha)=0.6157\\sin\alpha=0.6157\\\alpha=38[/tex]
[tex]b)\\cos(180-\alpha)=-0.6293\\-cos\alpha=-0.6293\\cos\alpha=0.6293\\\alpha=51[/tex]
[tex]d)\\sin(90-\alpha)=0.9063\\cos\alpha=0.9063\\\alpha=25[/tex]
[tex]e)\\cos(90-\alpha)=0.2250\\sin\alpha=0.2250\\\alpha=13[/tex]
[tex]c)\\tg(180-\alpha)=-4.3315\\-tg\alpha=-4.3315\\tg\alpha=4.3315\\\alpha=77[/tex]
[tex]f)\\tg(90-\alpha)=0.5095\\ctg\alpha=0.5095\\tg\alpha*ctg\alpha=1\\tg\alpha*0.5095=1\\tg\alpha=\frac{1}{0.5095}\\tg\alpha=1:\frac{5095}{10000}\\tg\alpha=1*\frac{10000}{5095}\\tg\alpha=\frac{10000}{5095}\\tg\alpha=1.9627\\\alpha=63[/tex]
