help
#Q
zenith lodge
fresh garden
help
sin²x - cos²x
= sin²x - (1 - sin²x)
= sin²x - 1 + sin²x
= 2 sin²x - 1
1 + cos x = 1 + sqrt(1 - sin²x)
cross multiply
10 sin²x - 5 = sin x + sin x sqrt(1 - sin²x)
10 sin²x - sin x - 5
= sin x sqrt(1 - sin²x)
square both sides
100 sin⁴x + sin²x + 25 - 20 sin³x - 100 sin²x + 10 sin x
= sin²x(1 - sin²x)
100 sin⁴x - 20 sin³x - 99 sin²x + 10 sin x + 25
= sin²x - sin⁴x
101 sin⁴x - 20 sin³x - 100 sin²x + 10 sin x + 25 = 0
u = sin x
,w 101u^4-20u^3-100u^2+10u+25=0
quasi latchBOT
fresh garden
sin x = 0.72272
or
sin x = 0.79219
from there you can find cos x
so there are 2 possible answers