Thus L.H.S = R.H.S that is 2/√3cosx + sinx = sec(Π/6-x) is proved
We have to prove that
2/√3cosx + sinx = sec(Π/6-x)
To prove this we will solve the right-hand side of the equation which is
R.H.S = sec(Π/6-x)
= 1/cos(Π/6-x)
[As secƟ = 1/cosƟ)
= 1/[cos Π/6cosx + sin Π/6sinx]
[As cos (X-Y) = cosXcosY + sinXsinY , which is a trigonometry identity where X = Π/6 and Y = x]
= 1/[√3/2cosx + 1/2sinx]
= 1/(√3cosx + sinx]/2
= 2/√3cosx + sinx
R.H.S = L.H.S
Hence 2/√3cosx + sinx = sec(Π/6-x) is proved
Learn more about trigonometry here : brainly.com/question/7331447
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I think the answer to this is: 25q + 10d + 5n + 60 = 87
The story says that you have 1 dollar and 87 cents; 60 cents of which is pennies. So, if you’re using an equation involving quarters, dimes and nickels, the total equation should equal to 87 cents (since that dollar bill could not be broken down to cents).
Answer:
Step-by-step explanation:
suppose that O has coordinates (0,0),and the points P and Q have coordinates that are whole numbers between 0 and 2, inclusive. One example of a triangle with O,P, and Q as vertices is shown below . how many such triangle are right triangle ?
Answer:
median 53
range 69
mode all values appear once
Step-by-step explanation:
Answer:
224 pi
703.36 either might be in your answer list.
Step-by-step explanation:
Givens
r = 8 inches
rotations = 14
Formula
D = 14*C where C = 2 pi r
Solution
D = 14 * (2 pi * 8)
D = 224 * pi One possible answer
D = 224 * 3.14 = 703.36 inches Another possible Answer
