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Anton [14]
4 years ago
5

Is it true that since sin2x+cos2x = 1, then sin(x)+cos(x) = 1? Explain your answer.

Mathematics
2 answers:
MaRussiya [10]4 years ago
6 0
Sin2x+cos2x=1
2sinxcosx+2cos^2x-1=1
2cosx(cosx+sinx-1)=0
2cosx=0  cosx+sinx=1
True

I did this with double angle formulas. sin2x=2sinxcosx, and cos2x=2cos^x-1. With plugging this in, I used factoring. At the end, there are two factors. One of the factors is cosx+sinx-1=0, which is cosx+sinx=1. Therefore, the answer is true.
ludmilkaskok [199]4 years ago
3 0

Answer with Step-by-step explanation:

We are given that it is true since

sin2x+ cos2x=1 thensinx+cosx=1

We have to prove that  sinx+cosx=1

We know that

sin2x=2sinxcosx

cos2x=2cos^2x-1

Substituting  the values then we get

2sinxcosx+2cos^2x-1=1

2sinxcosx+2cos^2x=1+1

2(sinxcosx+cos^2x)=2

sinxcosx+cos^2x-1=0

cos^2x+sinxcosx=1

cosx(cosx+sinx)=1

cosx=1,cosx+sinx=1

Hence, sinx+cosx=1

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3 0
1 year ago
Find the value of X?
il63 [147K]

Answer:

C.92

Step-by-step explanation:

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6 0
4 years ago
PLEASE HELP ITS DUE TODAY!!
Aleks04 [339]

3. =1260

Step-by-step explanation:

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8 0
3 years ago
Suppose you have a coin collection of dimes and quarters containing 46 coins. If you have 6.70 dollars, how many of each type of
NNADVOKAT [17]

Answer:

The number of dimes = 32

The number of quarters  = 14

Step-by-step explanation:

Here, the total number of coins combined = 46

Let us assume the number of dimes = m

So, the Number of quarter = Total Coins - Number of dimes  = 46 - m

Now,as we know:

1 dime = $0.1

So, m dimes  = m x ($0.1) = $(0.1 m)

1 Quarter  = $0.25

So, ( 46 - m ) Quarters  = (46 - m ) x ( $ 0.25)   = 11.5 - 0.25 m

Also, given the total amount of coins = $ 6.70

⇒ Value of (Dimes + Quarters) = $ 6.70

or, (0.1 m) +  11.5 - 0.25 m  = 6.70

-0.15 m = - 4.8

or, m = 4.8/0.15  =  32

⇒ m = 32

Hence, the number of dimes = m = 32

And the number of quarters  = 46 - m= 46 -32 = 14

4 0
3 years ago
Can someone help me pls?
patriot [66]

Answer:

Step-by-step explanation:

64

because the small triangle at the top is isoscel and has the base angles BDE and BED = (180 -48)/2 =66

angle BDE is congruent to DAC = 66, because 2 || BE and AC are cut by transversal BA

angle ADC = 180 -50 -66 = 64

3 0
3 years ago
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