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Vinvika [58]
3 years ago
8

(secx-tanx)(secx+tanx)=1 simplify

Mathematics
2 answers:
tigry1 [53]3 years ago
5 0

Step-by-step explanation:

(secx-tanx)(secx+tanx)

=sec^2-tan^2

=1

Ymorist [56]3 years ago
5 0

Answer:

Step-by-step explanation:

LHS = (sec x - tan x)(Sec x - tan x)    

      = sec² x - tan²x         {(a +b)(a-b) = a² - b²}

      = \dfrac{1}{Cos^{2} \  x}-\dfrac{Sin^{2} \ x}{Cos^{2} \ x}\\\\\\= \dfrac{1-Sin^{2} \ x}{Cos^{2} \ x}\\\\= \dfrac{Cos^{2} \ x}{Cos^{2} \x}\\\\= 1

Hence proved.

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Please help me with this
Alex_Xolod [135]

Answer:

it's an example related to your question

Step-by-step explanation:

Q. One number is 2 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 200, find the number

Answer:First number = x

One number = 2x

Third number = 100 + x

x + 2x + 100 + x = 200

Collect like terms

4x + 100 = 200

4x = 100

x = 25

First number = 25

One number = 50

Third number =125

Total= 200

Hope this helps.

7 0
3 years ago
Soon after taking an aspirin, a patient has absorbed 280 mg of the drug. After 2 hours, only 70 mg remain. Find an exponential m
svetlana [45]
Y = 300e^(-Bt) 
plug in y = 75 and t = 2 
75 = 300e^(-2B) 
75/300 = e^(-2B) 
ln(75/300) = -2B 
B = -ln(75/300) / 2 
so B = approx 0.693300 = A(e^0) = A 
<span>A = 300 
</span>. 9.4 mg left in the bloodstream after 5 hours. 
<span>

</span>
4 0
3 years ago
Multiply (5x^2 + x-4(x+2)
bagirrra123 [75]

Answer:

5x^2-3x-8

Step-by-step explanation:

So you will want this to be simplified.

expanding brackets is a great way of doing this

one you have expanded all brackets u get the answer above

:)

4 0
4 years ago
Pls help will give brainlest if it’s right :)
Sauron [17]
225, don’t be mad at me if I’m wrong, but my apologies if I am
8 0
3 years ago
Read 2 more answers
Suppose an airline policy states that all baggage must be box shaped with a sum of​ length, width, and height not exceeding 96 i
Vladimir [108]

Answer:

Step-by-step explanation:

As the base is a square so the length is a, width is a and the height is h.

According to the question,

a + a + h = 96

h = 96 - 2a     .... (1)

Volume of the box, V = length x width x height

V = a x a x h

V = a² (96 - 2a)    from equation (1)

V = 96a² - 2a³

Differentiate both sides

\frac{dV}{da}=192 a -6a^{2}

Now put it equal to zero.

192 a - 6a² = 0

a = 32 in

h = 96 - 2 x 32

h = 32 in

Thus, the length and the width os teh base is 32 in and the height is 32 in.

5 0
3 years ago
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