Answer:

Step-by-step explanation:
Given: sin x + cos x
To change the given trigonometry expression in term of sine only.
Trigonometry identity:-
Expression: 
We get rid of cos x from expression and write as sine form.
Expression:

Hence, The final expression is only sine function.
Dy/dx = y cos x
y = Ae^sin(x)
y(0) = Ae^sin(0) = A = 3
A = 3
Therefore, y = 3e^(sinx)
Answer:
tan θ = (√13)/3
Step-by-step explanation:
cosθ = 3/√22 = adj/hyp
third side of triangle has dimension
c = √((√22)² - 3²) = √13
tan θ = opp/adj = (√13)/3