Question

comple the trigonometric ratio​

Answer 1

Answer:

$1) \: \: \: \: \: \: \: \frac{ \sin( \alpha ) }{ \cos( \alpha ) } = \tan( \alpha ) \\ \\ 2) \: \: \: \: \: \: \sin( \alpha ) = \cos( \alpha ) . \tan( \alpha ) \\ \\ 3) \: \: \: \: \: \: \cos( \alpha ) = \frac{ \sin( \alpha ) }{ \tan( \alpha ) } \\ \\ 4) \: \: \: \: \: \: \: \tan( \alpha ) \tan(90 - \alpha ) = \tan( \alpha ) \cot( \alpha ) = 1.$

Step-by-step explanation:

$1) \: \: \: \: \: \: \: \frac{ \sin( \alpha ) }{ \cos( \alpha ) } = \tan( \alpha ) \\ \\ 2) \: \: \: \: \: \: \sin( \alpha ) = \cos( \alpha ) . \tan( \alpha ) \\ \\ 3) \: \: \: \: \: \: \cos( \alpha ) = \frac{ \sin( \alpha ) }{ \tan( \alpha ) } \\ \\ 4) \: \: \: \: \: \: \: \tan( \alpha ) \tan(90 - \alpha ) = \tan( \alpha ) \cot( \alpha ) = 1.$

Answer 2

Answer:

1) sin / cos = tan

2) cos × tan

3) base/ hypotenuse

4) 1 because

tan × cot

= 1