Question

if cosx=cos40.sin50+sin40.cos50 then find the value of x

Answer 1

hello users.....

we have given that :-
cos x = cos40.sin50+sin40.cos50

we have to find :-
x = ?

solution:-
we know that:
sin(A+B) = sin A cos B + cos A sin B

here,
cos40.sin50+sin40.cos50
= sin(40+50 )
= sin 90°
= 1

now,
according to question :
cos x = sin 90 = 1

=> cos x = cos (90 -90)

=> cos x = cos 0°

=> x = 0° answer

✡✡ hope it helps ✡✡