Question

Sabendo que sen x =
CALCULE

Answer 1

pela lei da trigonometria

sen²x + cos²x = 1

(-4/5)² + cos²x = 1

(16/25) + cos²x = 1

cos²x = 1 - (16/25)

cos²x = (25-16)/(25)

$cosx = \sqrt{ \frac{9}{25} }$

cosx = (3/5)

$tgx \: = \frac{senx}{cosx} \\ \\ tgx \: = \frac{ \frac{ - 4}{5} }{ \frac{3}{5} } \\ \\ tgx \: = \frac{ - 4}{5}. \frac{5}{3} \\ \\ tgx \: = \frac{ - 4}{3}$

$cotgx \: = \frac{1}{tgx} \\ \\ cotgx \: = \frac{1}{ \frac{ - 4}{3} }$

cotgx = -(3/4)

secx = 1/cosx

secx = (5/3)

cossecx = 1/senx

cossecx = -(5/4)