Answer:
The prove is below
Explanation:
From trigonometric identities:
[tex]cos2A=cos(A+A)=cos^2A-sin^2A\\sin2A=sin(A+A)=2sinAcosA\\sin4A=sin(2A+2A)=2sin2Acos2A=2(2sinAcosA)(cos^2A-sin^2A)=4sinAcos^3A-4cosAsin^3A\\secA=\frac{1}{cosA}[/tex]
Therefore:
[tex]\frac{1}{4}sin4AsecA = \frac{1}{4}( 4sinAcos^3A-4cosAsin^3A)\frac{1}{cosA}\\= sinAcos^3A-cosAsin^3A(\frac{1}{cosA} )\\=sinAcos^2-sin^3A\\=sinA(cos^2A-sin^2A)\\But\ cos^2A-sin^2A=cos2A\\Therefore:sinA(cos^2A-sin^2A)=sinAcos2A\\\frac{1}{4}sin^4Acos2A=sinAcos2A[/tex]
Why do muscles become fatigued?
Answer:
Muscle fatigue. Muscle fatigue is the decline in ability of a muscle to generate force. It can be a result of vigorous exercise but abnormal fatigue may be caused by barriers to or interference with the different stages of muscle contraction.
A patient has a rash on his elbow, which is a(n)___symptom, especially compared to the deep ache that is caused by his arthritis.
Answer:
superficial
Explanation:
A patient has a rash on his elbow, which is a superficial symptom, especially compared to the deep ache that is caused by his arthritis.
What is a rash?It is an area of skin that is irritated and may be swollen.
What is arthritis?It is inflammation of joints that are also swollen.
Joint pain is most commonly associated with arthritis and is a physical symptom whereas the rash is associated with skin and is a superficial symptom
Is there arthritis that has a rash associated with it?Yes, rheumatoid arthritis and psoriatic arthritis are the most common arthritis that has a rash associated with it.
To learn more about rash and arthritis here,
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Which one of these grids is shaded red and blue in the ratio 1 : 1/3?
A
B.
C
E
Answer: A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. The following proportion is read as "twenty is to twenty-five as four is to five."
Explanation:
What amount of alcohol can cause increase in apetite and help digestion