Question

if cosa = 4/5 and a is an acute angle, find the value of sina and tana​

Answer 1

Answer:

sin x =  3/5    ,    tan x =  4/3

Step-by-step explanation:     we know that cos²x  +  sin²x  = 1

so  sin²x  =   1 - cos²x

and  sinx  =  √1-cos²x

sin(x)  =  √1 - (4/5)²

=    √1 -  16/25         =     √9/25    =   √9  /   √25      

=       3/5

hence if cos x =  4/5  

then sin x =   3/5

now tan x  =  sin x /   cos x      =     (4/5)/(3/5)  =  4/3