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bonufazy [111]
4 years ago
15

If cos 0=2/3, what are the values of sin 0 and tan 0?

Mathematics
1 answer:
morpeh [17]4 years ago
4 0

Answer:

Below

Step-by-step explanation:

● cos O = 2/3

We khow that:

● cos^2(O) + sin^2(O) =1

So : sin^2 (O)= 1-cos^2(O)

● sin^2(O) = 1 -(2/3)^2 = 1-4/9 = 9/9-4/9 = 5/9

● sin O = √(5)/3 or sin O = -√(5)/3

So we deduce that tan O will have two values since we don't khow the size of O.

■■■■■■■■■■■■■■■■■■■■■■■■■

●Tan (O) = sin(O)/cos(O)

● tan (O) = (√(5)/3)÷(2/3) or tan(O) = (-√(5)/3)÷(2/3)

● tan (O) = √(5)/2 or tan(O) = -√(5)/2

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All real numbers less than or equal to 9 and greater than or equal to 7 please hurry​
VashaNatasha [74]

Answer:

7 \leq x \leq 9

Step-by-step explanation:

Let x represent the real numbers.

For the first part, all real numbers less than or equal to 9 in algebra is x \leq 9.

For the second part, all real numbers greater than or equal to 7 in algebra is x \geq 7.

To combine both inequalities, it would become 7 \leq x \leq 9.

Hope this helped! If not, please let me know! <3

4 0
3 years ago
Read 2 more answers
Solve for x 3(x + 4) = 21
Amanda [17]

Answer:

x=3

Step-by-step explanation:

3+4=7

3x7=21

4 0
4 years ago
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Your bank account balance is -$20.85. You deposit $15.50. What is your new balance?
bezimeni [28]
-20.85+15.50=-5.35,
basically, you still own the bank 5.50 dollars
6 0
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Mrs.smith weighs 200lbs and goes on a diet she now weighs 15 pounds what is her percent of increase or decrease
Paha777 [63]
Dang she lost a lot of weight!!!
4 0
3 years ago
Len invests $5200 at 3%/a, while his friend Dave invests $3600 at 5%/a. How long will it take for Dave’s
kupik [55]
Suppose that it will take n years for Dave's investment to be equal to Len's;
thus using the compound interest formula we shall have:
A=p(1+r/100)^n
thus the investment for Len after n year will be:
A=5200(1+3/100)^n
A=5200(1.03)^n

The total amount Dave's amount after n years will be:
A=3600(1+5/100)^n
A=3600(1.05)^n
since after n years the investments will be equal, the value of n will be calculated as follows;
5200(1.03)^n=3600(1.05)^n
5200/3600(1.03)^n=(1.05)^n
13/9(1.03)^n=(1.05)^n
introducing the natural logs we get:
ln(13/9)+n ln1.03=n ln 1.05
ln(13/9)=n ln 1.05-n ln 1.03
ln(13/9)=0.0192n
n=[ln(13/9)]/[0.0192]
n=19.12
thus the amount will be equal after 19 years



4 0
3 years ago
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