Answer:
x= -30
Step-by-step explanation:
√3×sinx+cosx=0
√3sinx=-cosx
√3sinx/-cosx=1
-sinx/cosx=1/√3
-tanx=1/√3
(tan(180-30))=1/√3
tan(-30)=1/√3
Therefore, x= -30
(8c)^2+7c
(8c)^2=64c^2
so that..
64c^2+7c
factor out c
c(64c+7)
Part 1
We want to find the tan of 88 degrees, 22' 45''.
88° 22' 45''
= 88 + 22/60 + 45/3600 degrees
= 88.3792°
From the calculator, obtain
tan(88.3792°) = 35.3409
Answer: 35.3409
Part 2
We want to find cot(36°).
By definition, cot(x) = 1/tan(x).
From the calculator, obtain
tan(36°) = 0.7265
Therefore
cot(36°) = 1/0.7265 = 1.3764
Answer: 1.3764
