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gizmo_the_mogwai [7]
3 years ago
14

Prove(sec theta-tan theta)(sec theta+tan theta)=1​

Mathematics
1 answer:
Aliun [14]3 years ago
3 0

Answer:

( \sec \theta -  \tan \theta)( \sec \theta +  \tan \theta)

from difference of two squares:

{ \boxed{ \tt{( {a}^{2}  -  {b}^{2}) = (a - b)(a + b) }}}

=  { \sec }^{2} \theta -  { \tan}^{2} \theta \\  = (1 + { \tan}^{2} \theta) - { \tan}^{2} \theta \\  = 1

hence proved

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HELP DUE IN 15 MINS!
Stells [14]

Answer:

  • n = 18

Step-by-step explanation:

<u>Sum of interior angles of a polygon:</u>

  • (n - 2)180 = 160n
  • 180n - 360 = 160n
  • 20n = 360
  • n = 18

8 0
3 years ago
Select the correct answer.
Marta_Voda [28]
Remember x is x and f(x) is same thing as y.

f(5) = 4

It is same thing as saying, when x = 5, y aka f(x) should be 4. Aka the point (5,4)

Let’s look at D, if x =5 then f(x)=5? No, it should equal 4. So this is wrong. It is also not linear. So NOT D

Lets look at C, if x =5 then
1/5(5)+3 =
5/5 + 3 =
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So, f(x) aka y = 4. Is this correct? Yes when x =5, y indeed should equal 4, but it is not linear. So NOT C

Lets look at B, if x=5 then,
2^5 -28 =
32 - 28 =
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So, f(x) aka y = 4. Is this correct? Yes when x =5, y indeed should equal 4, AND it is linear SO THE ANSWER IS B

Check A too, it gets y=14 so thats wrong as it is not 4.


5 0
2 years ago
Is it (sss) (side side side ) Hypotenuse-Leg (HL), ssa?(sas) aaa,asa,aas?
Reil [10]
  • Here, both the triangles have equal sides.
  • So, the two triangles are related by SSS.
  • If all the sides of a triangle are equal to all the sides of another triangle, so the triangles are congruent to each other.

<u>Answer</u><u>:</u>

<u>SSS,</u><u> </u><u>congruent.</u>

Hope you could get an idea from here.

Doubt clarification - use comment section.

4 0
2 years ago
I need help with 8,9 and 10
rodikova [14]

Answer:

Answer 8: D

Answer 9: A

Step-by-step explanation:

8D: 5(12)/4-1=14

9A: Plug in -5(1)+2 = -3, so the point is (1,-3)

Question 10 is not visible

8 0
3 years ago
The average commute times for employees of a large company is 23 minutes the commute time of 12 employees are 25,33,26,29,17,29,
k0ka [10]

Answer:

26

Step-by-step explanation:

Mean (Average) 26

Median 25.5

Range 41

Mode 29, appeared 2 times

Geometric Mean 23.569888915944

Largest 52

Smallest 11

Sum 312

Count 12

8 0
3 years ago
Read 2 more answers
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