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ValentinkaMS [17]
3 years ago
13

(1 - cosx) (1 + 1/cosx) = sinxtanx

Mathematics
1 answer:
Nataly [62]3 years ago
5 0

Answer:

cos x ≠ 0 ⇔ x ≠ \frac{pi}{2}+k.pi ; k ∈ N

(1-cosx)(1+\frac{1}{cosx})=sinx.tanx\\\\(1-cosx)(\frac{cosx+1}{cosx})=sinx.\frac{sinx}{cosx}\\\\ \frac{1-cos^{2} x}{cosx} =\frac{sin^{2}x }{cosx}\\\\=>1-cos^{2}x=sin^{2}x

<=> cos²x + sin²x = 1

⇔ 1 = 1

=> x =  { R \ (pi/2 + k.pi); k ∈ N}

Step-by-step explanation:

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Find the mistake and correct it
Murljashka [212]

Answer:

i believe its the second part thats wrong  

Step-by-step explanation:

1 Distribute

−5(−2+10)=20

10−50=20

2 Add 50 to both sides of the equation

10−50=20

10−50+50=20+50

3 Simplify

Add the numbers

10x−50+50=20+50

10=20+50

Add the numbers

10x =20 + 50

10x=10

4 Divide both sides of the equation by the same term

10x = 70

10x   70

---- = ----

10      10

5 Simplify

Cancel terms that are in both the numerator and denominator

10x   70

---- = ----

10      10

      70

x  = ----

       10

   

        70

x  = ----

       10  

x=7

Solution

= 7

hopes it helps and list brain list plz

6 0
2 years ago
Lu is making a quilt that is 20 squares wide and has 18 rows the border of the quilt is made by using each toy design equally as
mixer [17]

Answer:

The correct answer is two designs are used 12 times each and other four designs are used for 13 times each.

Step-by-step explanation:

Width of the quilt Lu is making is 18 rows of 20 squares each.

Thus the perimeter of the quilt is 20 + 20 + 18 + 18 = 76.

We can also say there are 76 square as the boundary which are to be bordered with toy designs.

Each square can hold 1 design of toy and there are 6 different designs of toys.

Thus number of times each design is used \frac{76}{6} = 12 \frac{4}{6}.

Thus there are two designs used 12 times each and other four designs are used for 13 times each.

3 0
3 years ago
The length of a side of an equilateral triangle is 40cm. what is the length of the altitude of the triangle?
podryga [215]

Answer:

20√3 cm

Step-by-step explanation:

Altitude of an equilateral triangle splits it into 2 equal right triangles, it bisects the base and the angle opposite to the base.

<u>Let the altitude be x. Then as per Pythagorean theorem:</u>

  • x² = 40² - (40/2)²
  • x²= 1600 -400
  • x²= 1200
  • x= √1200
  • x= 20√3 cm

<u>Correct choice is</u> the second one

4 0
3 years ago
Joseph is a college student at The University of Texas. He made good grades in high school and received a scholarship that pays
ki77a [65]

Answer:

  Step-by-step explanation: cap

7 0
3 years ago
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Viktor [21]
Liz would end up baking more cookies than sara. So the answer would be d
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3 years ago
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