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
zysi [14]
3 years ago
14

3 sinx + 4 cosx = 5

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
7 0
<span>3sinx+4cosx=5
     => 3/5 sinx +4/5 cosx = 1
     let cosA=3/5   => sinA=4/5
     =>  cosAsinx + sinAcosx = 1
     =>  sin(x+A) = 1
Now,
       4sinx - 3cosx
  =   5(4/5sinx - 3/5 cosx)     [multipying numerator and denominator by 5]
  =   5(sinAsinx - cosAcosx)
  =   -5{cos(x+A)} = -5[root{1-(sin(x+A)^2)}] = -5 x 0 = 0          Ans 0
 
TRICK: if asinx+bcosx is given then multiply numerator and denominator by root(a^2 +b^2)
            this method is useful  in many questions </span>
You might be interested in
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
o-na [289]
This is just cylinder surface area, right? Equation for that would be 2πrh+2πr^2. If we input the data given from the image, it’d be (2 x π x 3.5 x 4)+(2 x π x 3.5 x 3.5). (4 is the height, and I found the radius by dividing the diameter, 7, in half, which is 3.5.) if u plug that into a calculator, u get 164.93.
8 0
2 years ago
Which number line shows the solution to the inequality 8x – 9 &lt; –41?
lora16 [44]

Answer:

A

Step-by-step explanation:

In the inequality, you want to simplify it to get x on one side, and the numeric values on the other.

So, moving 9 to the other side, you get, 8x<-32

Then, you can divide by 8 on both sides to get x alone.

You get, x<-4.

From this, we can see that it should be an open dot at -4, and pointing to the left.

So, the correct number line is A.

7 0
2 years ago
Explanation please will give brainliest.​
Sonja [21]

Answer:

AC = 28

Step-by-step explanation:

Given

AB = 16

BC = 12

Required

Determine AC

Since A, B and C are collinear, then:

AC = AB + BC

So, we have:

AC = 16 + 12

AC = 28

5 0
3 years ago
What property is (3x10)x8=3x(10x8)
mylen [45]
(3 x 10) x 8 = 3 x (10 x 8)
this is called the associative property of multiplication.
it states : (a * b) * c = a * (b * c)
7 0
3 years ago
Read 2 more answers
The vertices of the triangle are given. determine whether the triangle is an acute traignel, obtuse triangle
Brrunno [24]
What are the angles?

if all of them are below 90 degrees, it is acute.

if one angle is 90 degress, it is right

if one angle is more than 90 degrees, it is obtuse
8 0
3 years ago
Other questions:
  • A ham sandwich consists of one slice of ham (9 grams) and two slices of bread (25 grams each). you have 1 kg of ham and 1.2 kg o
    5·1 answer
  • What is w-4&gt;9 written on a number line?
    9·1 answer
  • If there are 20 beers bottles and chad drank 5. Kyle drank 10 how many beers would there be left???
    6·2 answers
  • Plz help me with this
    10·1 answer
  • Round 355,790 to the nearest thousand
    14·2 answers
  • Which is a logical conclusion based on the information given in the figures
    14·1 answer
  • 8R4 Joan was assigned to graph an absolute value function, but she forgot the 4 poi function. However, she remembers the followi
    15·1 answer
  • How do I find mean median range iqr and standard deviation ​
    6·1 answer
  • What is the area of this parallelogram
    9·1 answer
  • Part 3 of the notes some more coming
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!