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Vinvika [58]
3 years ago
13

Evaluate the expression 25+10.2×4-2

Mathematics
1 answer:
JulijaS [17]3 years ago
6 0

Answer:

Answer: 51x45+23=10.2x4+23

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
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On Carrie’s map, Greenville and North Valley are 4.5 inches apart. The scale on her map is 1 inch = 20 miles. How far is Greenvi
damaskus [11]
Greenville is 90 miles from North Valley.
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3 years ago
I'm doing some maths homework and need some help. It's Pythagorean
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What is the question? Pythagorean is not too hard. a^2 + b^2 = c^2
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A polygon has two sets of parallel lines and four right angles based on this information which of the following is true about th
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Answer is a . rectangle
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Please help me! i really need help​
deff fn [24]

Answer:

24.3

Step-by-step explanation:

because each side is the same. one has 12 inch and the other is 9. So you subtract 9 from 12 and get 3. Then you have to find out what the other mesurment is for the bigger shape, which is 2.7 because 32/12=2.66666, so u round and get 2.7 . so theen you multiply 9 and 2.7 and get 24.3! Hope this helps.

7 0
3 years ago
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