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Orlov [11]
4 years ago
10

How do I prove that (1+sinx)/cosx=cos(-x)/(1+sine(-x))

Mathematics
1 answer:
stira [4]4 years ago
5 0
\dfrac{1+\sin x}{\cos x}=\dfrac{\cos (-x)}{1+\sin(-x)}\\
\dfrac{1+\sin x}{\cos x}=\dfrac{\cos x}{1-\sin x}\\
\cos^2 x=(1+\sin x)(1-\sin x)\\
\cos^2 x=1-\sin^2 x\\
\sin^2 x+\cos^2 x=1

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Munson's Sporting Goods purchases bowling balls from the manufacturer for a wholesale price of $65 each. The retail price of the
Vera_Pavlovna [14]

Answer:$125

Step-by-step explanation:you add 65 and 60 because you increase

7 0
3 years ago
A worm travels 1,250 millimeters. How many meters did the worm travel? step by step
const2013 [10]
1.25m is your answer
4 0
3 years ago
The coordinates of ∆ABC are A(-3, 2), B(5, 8) & C(11, 0). Which type of triangle is ∆ABC? Select All that apply.
stepan [7]

Given:

The coordinates of ∆ABC are A(-3, 2), B(5, 8) & C(11, 0).

To find:

The type of the given triangle.

Solution:

Distance formula:

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Using the distance formula, we get

AB=\sqrt{(5-(-3))^2+(8-2)^2}

AB=\sqrt{(8)^2+(6)^2}

AB=\sqrt{64+36}

AB=\sqrt{100}

AB=10

Similarly,

BC=\sqrt{(11-5)^2+(0-8)^2}

BC=\sqrt{(6)^2+(8)^2}

BC=\sqrt{36+64}

BC=\sqrt{100}

BC=10

And,

AC=\sqrt{(11-(-3))^2+(0-2)^2}

AC=\sqrt{(14)^2+(-2)^2}

AC=\sqrt{196+4}

AC=\sqrt{200}

AC=10\sqrt{2}

Two sides of the triangle are equal, i.e., AB=BC. So, the triangle is an isosceles triangle.

Sum of square of two smaller side is

AB^2+BC^2=10^2+10^2

AB^2+BC^2=100+100

AB^2+BC^2=200

AB^2+BC^2=AC^2

Using the Pythagoras theorem, we can say that the given triangle is a right triangle.

Therefore, the correct options are B and F.

7 0
3 years ago
Question;
AlladinOne [14]

Answer:

okay so I am assuming we are dividing okay so here is how we will do it

here are the top and bottom values written more easily

3^n -3^n-1

3^n+1 +3^n

so first we can cancel out the 3^n values then get left with this

3^n-1

3^n+1

now it depends on the instructions but you can leave it like this or you can subtract their powers to get

3^n-2

Step-by-step explanation:

8 0
3 years ago
What does B.O.D.M.A.S. or B.E.D.M.A.S. mean?
kakasveta [241]
B E D M A S  MEANS BRACKETS EXPONENTS DIVISION MULTIPLICATION ADDITION AND SUBTRACTION
8 0
4 years ago
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