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.
Answer:
5y - 1 = 3y + 2
2y = 3
y = 1.5
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
If W is the present age of the woman and D is the present age of the daughter, then:
W = 4D
W + 5 = 3(D + 5)
Substituting the first equation into the second:
4D + 5 = 3(D + 5)
4D + 5 = 3D + 15
D = 10
The daughter is 10 years old.
Answer:
Yes because 5^2 + 12^2 = 13^2
Step-by-step explanation:
We can check using the Pythagorean theorem
a^2 + b^2 = c^2
5^2 + 12^2 = 13^2
25+ 144= 169
169 = 169