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enyata [817]
3 years ago
9

Which expression is equivalent to sec^2x − 1? a. cot2x b. tan2x c. csc2x d. cos2x

Mathematics
2 answers:
Nesterboy [21]3 years ago
4 0
Sec^2 x - 1 = tan^2x

Proof:
Sec^2x = 1+ tan^2x

1/cos^2x = 1 + sin^2x/cos^2x

<span>1/cos^2x - sin^2x/cos^2x = 1
</span>Using common denominator:
(1-sin^2x)/cos^2x = 1
sin^2x + cos^2 x = 1
cos^2 x = 1 - sin^2x
Substituting : 
cos^2x/<span>cos^2x = 1
</span>1 = 1
Left hand side = right hand side 
Artyom0805 [142]3 years ago
4 0

Answer:

option B tan²x

Step-by-step explanation:

We have to simplify the expression given as ( sec^{2}x-1 )

Since sec x = \frac{1}{cosx}

so ( \frac{1}{cosx} )² - 1 = \frac{1}{cos^{2} x} - 1

=\frac{1-cos^{2}x }{cos^{2}x}

= \frac{sin^{2}x }{cos^{2}x}

= tan²x

Therefore, option B tan²x is the answer.

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Solve to find x.<br> 7x - 12 = x - 6
Annette [7]

Hi,

7x - x = - 6 + 12

6x = 6

x = 6/6 = 1

3 0
3 years ago
The wheel of an adult's bicycle has diameter 26 in. The wheel of a child's bicycle has diameter 18 in. To the nearest inch (whol
GREYUIT [131]

Answer:

25.136 in

Step-by-step explanation:

Given data

Adult bicycle wheel

Diameter= 26in

Radius= 26/2= 13in

Circumference= 2πr

Circumference= 2*3.142*13

Circumference= 81.692 in

Child's bicycle

Diameter= 18in

Radius= 18/2= 9in

Circumference= 2πr

Circumference= 2*3.142*9

Circumference= 56.556 in

Hence the difference in the distance traveled in one revolution is the difference in their circumference

Distance=  81.692 -56.556

Distance=  25.136 in

3 0
3 years ago
I need help in this question I do t get it
lara31 [8.8K]

The system won't have a unique solution when what appears to be two lines is really only one line.  The coefficients in an equation for a line only matter in ratio; if we multiply them all by the same non-zero scalar we'll still have the same line, of course with an  infinite number of points on it, our infinite number of solutions.

2x - y = 8

6x - 3y = 4a

We need these to be the same equation, meaning they have to have all the same solutions.  So we have to figure out the factor to multiply the first equation by to get the second.  

That factor is obviously 3 because 3(2x)=6x and 3(-y)=-3y.   So we need the constants in the same ratio,

3(8) = 4a

24 = 4a

a = 6

Answer: B. 6

8 0
3 years ago
Read 2 more answers
What is the slope intercept in equation y = x-4
Orlov [11]

Answer:

Y = x - 4

Step-by-step explanation:

it’s already in y = Mx + b form

6 0
3 years ago
Please help me thank you
hoa [83]

Answer:

left side just count in fours and left side count from 5's

Step-by-step explanation:

left 5 10 15 20 25 30

right 4 8 12 16 20 24

6 0
3 years ago
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