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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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Sorry Guys, Angle 12 & 10 are effectively corresponding angles, but angle 10 & 7 are alternate interior angles. Anyways,
Irina-Kira [14]

Answer:

d

Step-by-step explanation:Angle 12 & 10 are effectively corresponding angles, but angle 10 & 7 are alternate interior angles. Anyways, Angle 12 & 10 are congruent and 10 & 7 are congruent. At the end, the three angles 12, 10, and 7 have the same measure. If we put it otherwise, the line B is intersecting line D which form right angles equals to 90 degrees, so angle 12 = 90, and the same happens with angle 10 and 7, so the three angles are congruent, but at the same time, angle 7 is supplementary with angle 12 because their sum is equal to 180, (90 + 90 = 180). If you think from different angles is hard to choose the right answer, so what I guess is that we don't need to take into account the angle 10, just the fact that line A intersect line C, and Line B intersect line D forming right angles, and that angle 7 and 12 are right angles which sum equals 180, therefore, we could say that they are supplementary angles, but also congruent because they measure the same, so at the end,

7 0
2 years ago
This week laptops are 25% off. If a laptop costs $340, what is its sale price?
Alexandra [31]

____________________________________________________

Answer:

Your answer would be $255

____________________________________________________

Step-by-step explanation:

To solve these kind of problems, what we have to do is find how much of 340 is 25%, and then subtract that number to the original price.

Let's give you some important information in the text:

  • 25% off
  • $340

With the information above, we can solve our problem.

First, we would need to find how much of 340 is 25%, and to do that, we would multiply 340 by 0.25:

340*0.25 = 85

When you solve, you should get 85. But, you're not done yet, we need to find out how much the sales price is, not how much of it is discounted.

In order to find the sales price, we would get our original number (the number it originally cost), and subtract it with the amount of money it's removing (85).

In this case, we would subtract 340 by 85.

340-85=255

Your FINAL answer should be 255

The sales price of the laptop would be $255.

____________________________________________________

5 0
2 years ago
Which relationship describes angles 1 and 2?
In-s [12.5K]

Answer:

Supplementary Angles

Adjacent Angles

Step-by-step explanation:

Angles 1 and 2 share a vertex and form a straight line. These angles are called supplementary angles. They add to 180 degrees and form a straight line. They are adjacent as well because they share a vertex and side.

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2 years ago
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2 years ago
Expand the following by using distributive property 6(-3w+1/3)
netineya [11]

Answer:

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Step-by-step explanation:

7 0
3 years ago
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