Answer:
<h3>π/2</h3>
Step-by-step explanation:
Given the expression;
secθ − tan θ = cosθ
We are to find the solution in the interval [0, 2π).This is as shown;
From trigonometry identity;
secθ = 1/cosθ
tanθ = sinθ/cosθ
Substitute into the formula;
secθ − tan θ = cosθ
1/cosθ-sinθ/cosθ = cosθ
Multiply through by cosθ
1 - sinθ = cos²θ
1-sinθ = (1-sin²θ)
1-sin²θ-1+sinθ =0
-sin²θ+sinθ = 0
sin²θ = sinθ
sinθ = 1
θ = arcsin 1
θ = 90
θ = π/2
Hence the solution is π/2
Answer:
5h -2
Step-by-step explanation:
(6h + 1) - (h+3)
= 6h + 1 - h -3
= 5h -2
Answer:
6^-1
Step-by-step explanation:
6^-6 - (-5) = 6^(-6 + 5) = 6^(-1)
A lot of things are going on in this question. Notice how the 5 is handled. It starts off in the denominator as - 5 and when brought to the numerator it becomes -(-5) which makes it + 5.
The answer is then easy. It is 6^(-6 + 5) = 6^-1
You could give the answer as 1/6 but that is not what the question says.
Answer:
D
Step-by-step explanation:
we know 4 times 5 is 20. If you add all of the sides for the next shape 4 4 5 and 5 you get 18 18 tomes 8 is 144 144 plus 20 plus 20 is 184. hope this helps!!!
If we increase q by 2, it means that q becomes q+2.
So, p will become
So, the new value for p is 6 more than the previous one.
The second exercise looks a bit odd: if the sequence started with -100, then it would be
-100, -97, -94, -91, -88,...
And every term would be 3 more than the previous one, so the next term would be -85, but this doesn't appear in your option.
Also, the fact that the sequence starts with positive 100 is quite strange, because it is unrelated to the rest of the sequence.
Are you sure that the exercise is written correct? Or are there any typos?
