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Mila [183]
3 years ago
5

WILL MARK BRAINLYEST

Mathematics
2 answers:
Ray Of Light [21]3 years ago
8 0
C should be the answer :)
galina1969 [7]3 years ago
5 0

Answer:C is the answer

Step-by-step explanation:

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Prove that sin3a-cos3a/sina+cosa=2sin2a-1
Sloan [31]

Answer:

\frac{sin(3a)-cos(3a)}{sin(a)+cos(a)} =2sin(2a)-1

Step-by-step explanation:

we are given

\frac{sin(3a)-cos(3a)}{sin(a)+cos(a)} =2sin(2a)-1

we can simplify left side and make it equal to right side

we can use trig identity

sin(3a)=3sin(a)-4sin^3(a)

cos(3a)=4cos^3(a)-3cos(a)

now, we can plug values

\frac{(3sin(a)-4sin^3(a))-(4cos^3(a)-3cos(a))}{sin(a)+cos(a)}

now, we can simplify

\frac{3sin(a)-4sin^3(a)-4cos^3(a)+3cos(a)}{sin(a)+cos(a)}

\frac{3sin(a)+3cos(a)-4sin^3(a)-4cos^3(a)}{sin(a)+cos(a)}

\frac{3(sin(a)+cos(a))-4(sin^3(a)+cos^3(a))}{sin(a)+cos(a)}

now, we can factor it

\frac{3(sin(a)+cos(a))-4(sin(a)+cos(a))(sin^2(a)+cos^2(a)-sin(a)cos(a)}{sin(a)+cos(a)}

\frac{(sin(a)+cos(a))[3-4(sin^2(a)+cos^2(a)-sin(a)cos(a)]}{sin(a)+cos(a)}

we can use trig identity

sin^2(a)+cos^2(a)=1

\frac{(sin(a)+cos(a))[3-4(1-sin(a)cos(a)]}{sin(a)+cos(a)}

we can cancel terms

=3-4(1-sin(a)cos(a))

now, we can simplify it further

=3-4+4sin(a)cos(a))

=-1+4sin(a)cos(a))

=4sin(a)cos(a)-1

=2\times 2sin(a)cos(a)-1

now, we can use trig identity

2sin(a)cos(a)=sin(2a)

we can replace it

=2sin(2a)-1

so,

\frac{sin(3a)-cos(3a)}{sin(a)+cos(a)} =2sin(2a)-1


7 0
3 years ago
Read 2 more answers
Maria buys 4 1/5 pounds of plums. The total cost after using the coupon for 55 cents off her entire purchase is 3.23$. If c repr
Rudik [331]

$3.23 = 4 1/5c - .55

4 1/5c = the pounds of plums, and the cost of each pound. - .55 represents subtracting the coupon.

7 0
3 years ago
Tom bought one third pickles as many pickles as alexa. Together their pickles cost 56p. How many pickles did they each buy?
nordsb [41]

Answer:

Step-by-step explanation:

let    pickle bought by alexa =x

then according to given condition ,

pickle bought by Tom= (1/3) of Alexa

pickle bought by Tom= (1/3) x

hence also given

totall pickle cost = Tom cost + alexa cost = 56p

(1/3)x+x=56

taking L.C.M

(4/3)x=56

x=56*3/4

x=42 p

so it means,

<h2>Alexa cost = x = 42p</h2><h2>Tom cost = (1/3)x= (1/3)*42 = 14 p</h2>
7 0
2 years ago
Write the two conditional statements that make up the following biconditional.
Yuri [45]
The correct answer is A. <span>If I drink juice, then it is breakfast time.
If it is breakfast time, then I drink juice.

This answer is an if-and-only-if conditional statement.
The other options are not.</span>
7 0
3 years ago
Read 2 more answers
What is the area of this figure?
s2008m [1.1K]

Step-by-step explanation:

it clearly consists of 2 rectangles and 1 triangle (as you tried correctly to point out by drawing the separating lines).

we only need to calculate all 3 areas and add them up for the total.

the area of a rectangle is

length × width

so, in our 2 cases we have

6 × 2 = 12 km²

5 × (3 + 2 + 3) = 5×8 = 40 km²

the area of a triangle is

baseline × height / 2

in case of a right-angled triangle the 2 sides enclosing the 90° angle can be used as baseline and height.

so, in our case

6 × (5 + 2 + (3 + 2 + 3 - 2)) / 2 = 6×(7 + 6)/2 = 3×13 = 39 km²

in total, the whole area is

12 + 40 + 39 = 91 km²

4 0
2 years ago
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