1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
notsponge [240]
1 year ago
11

Prove 2/sqrt3cosx+sinx=sec(pi/6-x)

Mathematics
1 answer:
dlinn [17]1 year ago
5 0

Thus L.H.S = R.H.S that is 2/√3cosx + sinx  = sec(Π/6-x) is proved

We have to prove that

2/√3cosx + sinx  = sec(Π/6-x)

To prove this we will solve the right-hand side of the equation which is

R.H.S = sec(Π/6-x)

          = 1/cos(Π/6-x)

[As secƟ = 1/cosƟ)

           = 1/[cos Π/6cosx + sin Π/6sinx]

[As cos (X-Y) = cosXcosY + sinXsinY , which is a trigonometry identity where X = Π/6 and Y = x]

           = 1/[√3/2cosx + 1/2sinx]

            = 1/(√3cosx + sinx]/2

            = 2/√3cosx + sinx

    R.H.S = L.H.S

Hence 2/√3cosx + sinx  = sec(Π/6-x) is proved

Learn more about trigonometry here : brainly.com/question/7331447

#SPJ9

You might be interested in
Whoever gets it correct first gets brainliest
timama [110]
3)
82 + p >= 150
p>= 150 - 82
p>= 68

answer A.

4)
x/-10 > 6
x > -60
answer
x > -60


5)
5z >= - 75
  z >= -75/5
  z >= -15

answer
  z >= -15
7 0
3 years ago
Δ ≡ ⇄ → 20 POINTS (answers in picture) ← ⇆ ≡ Δ
Strike441 [17]

54x - 60 + 36 - 6x = -8\\\\54x +\underbrace{(- 60 + 36)}_{+} - 6x = -8

<h3>Add -60 and 36</h3>
3 0
3 years ago
Use the linear combination method to solve the system of equations. –2.1x + 4y = 5.3 2.1x – 5.5y = –0.2 What is the solution to
8_murik_8 [283]

Answer: (-9, -3.4)

x = -9

y = -3.4

Step-by-step explanation:

-2.1x+4y=5.3

2.1x-5.5y=-0.2

0-1.5y=5.1

-1.5y=5.1

y=-3.4

Then plug in -3.4 for y in the first equation to get x = -9

Hope it helps <3

3 0
3 years ago
Read 2 more answers
HELP ASAP!!!
ad-work [718]

Answer:

Use the Pythagorean Theorem in reverse by using Subtraction:

Step-by-step explanation:

\displaystyle a^2 + b^2 = c^2 \\ \\ -b^2 + c^2 = a^2\:OR\:-a^2 + c^2 = b^2

I am joyous to assist you anytime.

3 0
3 years ago
The expression 15h + 216 represents the approximate amount of money a family spends at an amusement park in a day, where h is nu
ad-work [718]

Answer: $313.50

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • 401 km 101 m – 34 km 153 m
    11·1 answer
  • The sale price of these items in a store is 85% of its usual price. A The usual price of a sweatshirt is $18, what is its sale p
    14·2 answers
  • Someone help me I will mark you the brainiest
    12·1 answer
  • What is the range of the function shown in this table?
    11·1 answer
  • Factor as the product of two binomials.<br> x^2 – 100
    15·1 answer
  • If Ryuk eats 7 apples for every 50 names Light writes in the death note, how many apples will he have eaten after Light writes 5
    7·2 answers
  • If f(x) =2x²-x, find f(-4)-f(9)​
    8·1 answer
  • A neighborhood in Shiloh is building a treehouse. It has a rectangle floor of 6 ft by 4 ft. What is the area of the tree house f
    5·1 answer
  • Can you help me please!..
    9·2 answers
  • Help! i need this done this is worth 50% of my grade-
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!