Answer:
true
Step-by-step explanation:
1/2 (sin(x+y)+sin(x-y))
= 1/2 (sin x cos Y + cos x sin y + sin x cos y - cos x sin y)
= 1/2 * 2 sin x cos y
= sin x cos y
The expression is true.
Answer:
I'll give you a hint
Step-by-step explanation:
The angles are not supplementary, which means they add up to 180 degrees, they are complementary, which means they add up to 90 degrees
Hope this helps!
The answer is 14 you just have to substitute x with the given number and finish the equation
Answer:
First, let's define an arithmetic sequence:
In an arithmetic sequence, the difference between any two consecutive terms is always the same.
Then we can write it in a general way as:
aₙ = a₁ + (n - 1)*d
where:
aₙ is the n-th term of the sequence.
d is the constant difference between two consecutive terms.
a₁ is the initial term of our sequence.
Now in this case we know that the first terms of our sequence are:
84, 77, ...
Then we know the initial term of our sequence:
a₁ = 84.
And the value of d can be calculated as:
d = a₂ - a₁ = 77 - 84 = -7
Then the general way of writing this sequence is:
aₙ = 84 + (n - 1)*(-7)
And the recursion relation is:
aₙ = aₙ₋₁ - 7
So for the n-th term, we must subtract 7 of the previous term.