Question

If cos 0 = -4/7, what are the values of sin and tan ?

Answer 1

Step-by-step explanation:

$\cos( \frac{ - 4}{7} )$

which means base = -4 ,perpendicular = ? ,hypotenuse = 7

let base = x perpendicular = y and hypotenuse = r

according to Pythagoras theorm

r²=x²+y²

y²= x² - r²

=( -4)²-(7)²

= 33

square root both sides

y = √33

value of sin and tan

$\sin( \frac{ \sqrt{33} }{7} )$

$\tan( \frac{ - 4}{ \sqrt{33 } } )$