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Aleonysh [2.5K]
3 years ago
5

How do I solve these trigonometric equations!!?

Mathematics
1 answer:
iogann1982 [59]3 years ago
4 0

Answer:

Solution are

i) x = 0, \pi, \frac{3\pi}{2} , 2\pi

Step-by-step explanation:

1) (sinx)(cosx) =0

sin2x/2 =0

2x =0, 2pi, 3pi, 4pi

Hence x = 0, \pi, \frac{3\pi}{2} , 2\pi

---------------------------

2) cos2x + 2 cos x + 1 = 0\\2cos^2 x +2cosx +1 =0\\(cosx+1)^2 =0\\cosx =-1\\x=\pi

----------------------

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If the weight of 7 sheets of paper is 35 grams, find how many sheets of paper it will take to weigh 1.5 kg
Leokris [45]

Answer:

300 sheets

Step-by-step explanation:

if you divide 35 by 7, you get 5

then divide 1,500 by 5 to get 300.

3 0
2 years ago
Estimate the solution to the following system of equations by graphing.
stealth61 [152]


For graphing the following equations I have my answers as

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8 0
3 years ago
Ummm how do you do this two questions?
guajiro [1.7K]

Answer:

Here are the formulae you need. Just plug in the values you have and you will get your answers.

Area of a triangle: 1/2*base*height

Volume of a rectangular prism: length*width*height

Volume of a cylinder: pi*r^2*height

Step-by-step explanation:

8 0
2 years ago
How do you solve <br>2v+18=16-4(v+7)
Andreyy89
2v + 18 = 16 - 4(v + 7)

Simplify by removing the parenthesis.

2v + 18 = 16 - 4v - 28

Now, simply add 4v to both sides.

2v + 4v + 18 = 16 - 28

Simplify.

6v + 18 = -12

Now, subtract 18 from both sides.

6v = -12 - 18

Simplify.

6v = -30

Finally, divide both sides by 6.

6v ÷ 6 = 30 ÷ 6

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~Hope I helped!~

4 0
3 years ago
P-1/4=5 1/4
weeeeeb [17]
5.500

p-1/4-(21/4)=0

Step by step solution :

STEP
1
:

21
Simplify ——
4
Equation at the end of step
1
:

1 21
(p - —) - —— = 0
4 4
STEP
2
:

1
Simplify —
4
Equation at the end of step
2
:

1 21
(p - —) - —— = 0
4 4
STEP
3
:
Rewriting the whole as an Equivalent Fraction

3.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using 4 as the denominator :

p p • 4
p = — = —————
1 4
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

p • 4 - (1) 4p - 1
——————————— = ——————
4 4
Equation at the end of step
3
:

(4p - 1) 21
———————— - —— = 0
4 4
STEP
4
:

Adding fractions which have a common denominator :

4.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(4p-1) - (21) 4p - 22
————————————— = ———————
4 4
STEP
5
:

Pulling out like terms :

5.1 Pull out like factors :

4p - 22 = 2 • (2p - 11)

Equation at the end of step
5
:

2 • (2p - 11)
————————————— = 0
4
STEP
6
:

When a fraction equals zero :

6.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

2•(2p-11)
————————— • 4 = 0 • 4
4
Now, on the left hand side, the 4 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
2 • (2p-11) = 0

Equations which are never true:

6.2 Solve : 2 = 0

This equation has no solution.
A a non-zero constant never equals zero.

Solving a Single Variable Equation:

6.3 Solve : 2p-11 = 0

Add 11 to both sides of the equation :
2p = 11
Divide both sides of the equation by 2:
p = 11/2 = 5.500
5 0
3 years ago
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