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den301095 [7]
3 years ago
12

Tan^4x-sec^4x=1-2 sec^2(x) verify

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
6 0
Tan⁴x - sec⁴x = 1 - 2sec²x

tan²x = sec²x - 1

tan⁴x - sec⁴x = 1 - 2sec²x
(tan²x)² - sec⁴x = 1 - 2sec²x
(sec²x - 1)² - sec⁴x = 1 - 2sec²x

(sec²x)² - 2 * sec²x + 1 - sec⁴x = 1 - 2sec²x
sec⁴x - 2 sec²x + 1 - sec⁴x = 1 - 2sec²x

sec⁴x can be cancelled:
- 2 sec²x + 1 = 1 - 2sec²x

1 - 2sec²x = 1 - 2sec²x
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Find the value of b help me please
slava [35]

Answer:

b =  \sqrt{2}

Step-by-step explanation:

\cos \: 60 \degree =  \frac{b}{2 \sqrt{2} }  \\  \\  \frac{1}{2} =  \frac{b}{2 \sqrt{2} }  \\  \\b =  \frac{2 \sqrt{2} }{2}  \\  \\ b =  \sqrt{2}

4 0
3 years ago
Read 2 more answers
An art design is to contain two solid silver boxes shaped as cubes. One of boxes should have sides of 11 inches and the other si
marishachu [46]

Answer:

2060 cubic inches

Step-by-step explanation:

Volume of first cube plus volume of second cube = total volume needed

11³+9³= 2060

8 0
3 years ago
Melissa bought 2 shirts and 3 skirts and spent between $45 and $60. Each shirt costs the same amount. Each skirt costs the same
sukhopar [10]

Answer:

Least is 7

Most is 12

Step-by-step explanation:

So 2 shirts for 12.

So 24

Take 24 off of both

Left with 21 to 36

21÷3 is 7

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Hope this helps

6 0
3 years ago
Read 2 more answers
A shop sells shakes for $2 and doublescoop cones for $3. One day they sold 8 more shakes than scoops, and made $156. How many sh
I am Lyosha [343]

Answer:

x = 36 and y = 28

Step-by-step explanation:

Let she sells x shakes and y doublescoop cones

One day they sold 8 more shakes than scoops, and made $156.

ATQ,

2x+3y = 156 ..(1)

Also,

x = y+8 ..(2)

Put the value of x from (1) to equation (2)

2(y+8)+3y = 156

2y+16+3y = 156

5y = 156 - 16

5y = 140

y = 28

Put the value of y in equation (2)

x = 28+8

x = 36

<em>Hence, they will sell 36 shakes and 28 doublescoop cones.</em>

8 0
3 years ago
Can anyone help me with this problem
8_murik_8 [283]
They way I would do it other than with a calculator would be
27 x (90 - 0.5) which is the same as 27 x 89.5
=> 27 x 90 - 27 x 0.5
27 x 90 is (3 x 9) x 90 or 3 x 9 x 90
9 x 90 = 810
3 x 810 = 2430
Then subtract 27 x 0.5, or 27 / 2
2430 - 27 / 2
=> 2430 - 13.5
= 2416.5

Final answer:
2416.5
Hope I helped :)
6 0
3 years ago
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