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ollegr [7]
3 years ago
8

How do i prove 2sec^2x-2sec^2xsin^2-sin^2x-cos^2x=1

Mathematics
1 answer:
kramer3 years ago
6 0
2\sec^2x-2\sec^2x\sin^2x-\sin^2x-\cos^2x=2\sec^2x(1-\sin^2x)-(\sin^2x+\cos^2x)

Since \sin^2x+\cos^2x=1, you have

2\sec^2x(1-\sin^2x)-(\sin^2x+\cos^2x)=2\sec^2x\cos^2x-1

and since \sec x=\dfrac1{\cos x}, you end up with 2-1=1.
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A carpenter charges $45 for every 50 feet of fence he builds plus a travel charge of $37.50. If the equation, C = 4550F + 37.5 ,
Tju [1.3M]

Answer:

Step-by-step explanation:

Given the total cost of the building expressed as;

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C is the total cost

F is the length of the fence

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C = $352.50

Required

The length of the fence F

Substitute into the formula;

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4 0
2 years ago
Simplify √49 + [√81 - x(9x = 14)]
eimsori [14]

\longrightarrow{\green{- 9 {x}^{2}   +  14x + 16}} 

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}

\sqrt{49}  + [ \sqrt{81} - x \: (9x   -  14) ] \\ \\   =  \sqrt{7 \times 7}  + [ \sqrt{9 \times 9}   - 9 {x}^{2}   +  14x] \\  \\  =  \sqrt{( {7})^{2} }  + [ \sqrt{ ({9})^{2} }  - 9 {x}^{2}  +  14x ] \\  \\  (∵ \sqrt{ ({x})^{2} } = x ) \\  \\  = 7 + (9 - 9 {x}^{2}   + 14x) \\  \\  = 7 + 9 - 9 {x}^{2}   + 14x \\  \\  =  - 9 {x}^{2}   +  14x + 16

\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}

3 0
3 years ago
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