Question

СРОЧНО ПОМГИТЕ!!!!
найдите sina,tga,ctga если cosa = 5/17​

Answer 1

Дано:

cosa = 5/17

sina, tga, ctga — ?

Решение:

sin²a = 1 - cos²a = 1 - (5/17)² = 264/289

$\sin(a) = \frac{2 \sqrt{66} }{17}$

$\tan(a) = \frac{ \sin(a) }{ \cos(a) } = \frac{2 \sqrt{66} }{17} \times \frac{17}{5} = \frac{2 \sqrt{66} }{5}$

$\cot(a) = \frac{ \cos(a) }{ \sin(a) } = \frac{5}{17} \times \frac{17}{2 \sqrt{66} } = \frac{5}{2 \sqrt{66} }$