Step-by-step explanation:
<h3>
Need to FinD :</h3>
- We have to find the value of (sinθ + cosθ)/(sinθ - cosθ), when 13 cosθ - 5 = 0.
Here, we're asked to find out the value of (sinθ + cosθ)/(sinθ - cosθ), when 13 cosθ - 5 = 0. In order to find the solution we're gonna use trigonometric ratios to find the value of sinθ and cosθ. Let us consider, a right angled triangle, say PQR.
Where,
- PQ = Opposite side
- QR = Adjacent side
- RP = Hypotenuse
- ∠Q = 90°
- ∠C = θ
As we know that, 13 cosθ - 5 = 0 which is stated in the question. So, it can also be written as cosθ = 5/13. As per the cosine ratio, we know that,
Since, we know that,
- cosθ = 5/13
- QR (Adjacent side) = 5
- RP (Hypotenuse) = 13
So, we will find the PQ (Opposite side) in order to estimate the value of sinθ. So, by using the Pythagoras Theorem, we will find the PQ.
Therefore,
∴ Hence, the value of PQ (Opposite side) is 12. Now, in order to determine it's value, we will use the sine ratio.
Where,
- Opposite side = 12
- Hypotenuse = 13
Therefore,
Now, we have the values of sinθ and cosθ, that are 12/13 and 5/13 respectively. Now, finally we will find out the value of the following.
- By substituting the values, we get,
∴ Hence, the required answer is 17/7.
<span>7x + 2y = 48
</span><span>7x + 2(3) = 48
7x + 6 = 48
7x = 42
x = 6
answer </span><span>when y = 3, x = 6</span>
Answer: 7 1/30
Step-by-step explanation:
Tina loves to read. Before breakfast, she read 2 1/2 pages, at lunch she read 3 1/5 pages, and after dinner she read 1 1/3 pages. To find the total, we add all the pages together. This will be:
2 1/2 + 3 1/5 + 1 1/3
The LCM of 2, 5 and 3 is 30.
= 2 15/30 + 3 6/30 + 1 10/30
= 6 31/30
= 7 1/30.
Answer:
Answers are:
The value of both expressions when t=3 is 32.
The the value of both expressions when t=3 is 24.
The two expressions are equivalent.
Step-by-step explanation:
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Round to the nearest percent