Verify the identity sec(beta) - 1 / cos(beta) = sec(beta)

Answers

Answer 1

Answer: $(sec(\beta)-1)/(1-cos(\beta))=sec(\beta)$

we know that

$sec(\beta)=(1)/(cos(\beta))$

then, lets replace it

$((1)/(cos(\beta))-1)/(1-cos(\beta))=(1)/(cos(\beta))$

multiple each member by $cos(\beta)$

$(1-cos(\beta))/(1-cos(\beta))=1$

simplifying

$1=1$

Answer 2

Answer:

To verify the given identity sec(beta) - 1 / cos(beta) = sec(beta), we need to manipulate the left side of the equation to match the right side. By simplifying the expression step by step and using trigonometric identities, we can show that the given equation is true.

To verify the given identity sec(beta) - 1 / cos(beta) = sec(beta), we need to manipulate the left side of the equation to match the right side.

Start by finding the common denominator of the fractions on the left side, which is cos(beta).
The expression becomes (sec(beta) - 1)/cos(beta).
Next, simplify the numerator: sec(beta) - 1 = (1/cos(beta)) - 1 = (1 - cos(beta))/cos(beta).
Substituting this back into the original expression, we have (1 - cos(beta))/cos(beta) / cos(beta).
Simplify further by multiplying the numerator and denominator by cos(beta) to get (1 - cos(beta))/(cos^2(beta)).
Using the identity sec^2(beta) = 1 + tan^2(beta), we rewrite cos^2(beta) = 1 - sin^2(beta) as 1/(1 - sin^2(beta)).
Therefore, (1 - cos(beta))/(cos^2(beta)) = (1 - cos(beta))/(1 - sin^2(beta)) = sec(beta).

Thus, we have verified that sec(beta) - 1 / cos(beta) = sec(beta).

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Find the radius and circumference of a cd with a diameter of 4.75 inches

Answers

To calculate for the radius, we divide the given diameter by 2. That would be 4.75 inches/2. This operation would give us the answer of 2.375 inches. The circumference is calculated by the formula, C = 2πr: C = 2(π)(2.375 inches) = 14.92 inches

Factor the left hand side of the equation into two or more factors 16x^4-121x^2=0

To the fourth power^4
Squared^2

Cimpletly lost help me figure this out please

Answers

  16x⁴ - 121x² = 0
  x²(16x²) - x²(121) = 0
  x²(16x² - 121) = 0
x²(16x² + 44x - 44x - 121) = 0
x²(4x(4x) + 4x(11) - 11(4x) - 11(11)) = 0
  x²(4x(4x + 11) - 11(4x + 11)) = 0
  x²(4x - 11)(4x + 11) = 0
  x² = 0 or 4x - 11 = 0 or 4x + 11 = 0
√(x²) = √(0) + 11 + 11 - 11 - 11
  x = 0   or   4x = 11    or    4x = -11
4 4 4 4
x = 2³/₄   or      x = -2³/₄

Solution Set: {0, ±2³/₄}

Rick used 4-2-3 yards to sew 3-1-2 shirts what is the unit rate of cloth he used in terms of yards per shirt Mathematics 7th grade

Answers

If Rick used 4 2/3 yards of fabric to sew 3 1/2 shirts. The unit rate of cloth he used in terms of yards per shirt will be 4/3.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, Rick used 4 2/3 yards of fabric to sew 3 1/2 shirts.

We'll apply division by Splitting into equal halves or groups, the division may be used to decide how to distribute a dish of cookies evenly among a group.

The unit rate of cloth he used in terms of yards per shirt is found by dividing the 3 1/2 shirts by 4 2/3 yards,

$= 4 (2)/(3) / 3 (1)/(2) \n\n = (14)/(3) / (7)/(2) \n\n = (14)/(3) * (2)/(7) \n\n = (4)/(3)$

Thus, if Rick used 4 2/3 yards of fabric to sew 3 1/2 shirts. The unit rate of cloth he used in terms of yards per shirt will be 4/3.

The question is incomplete

The complete question is"Rick used 4 2/3 yards of fabric to sew 3 1/2 shirts. What is the unit rate of cloth he used in terms of yards per shirt?"

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A man travels from Town X to Town Y at an average rate of 60 mph and returns at an average rate of 50 mph. He takes a 1/2 hour longer than he would take if he made the round trip at an average of 55 mph. What is the distance from Town X to Town Y?

Answers

$v_1=60mph\n v_2=50mph\n v_3=55mph\n t_1- time\ needed\ to\ travel\ from\ X\ to\ Y\ at\ v_1\ and\ return\ with\ v_2\n t_2- time\ needed\ to\ travel\ from\ X\ to\ Y\ at\ v_3\n\n t_1-0,5h=t_2\n s-travelled\ distance\n v=(s)/(t)\n v*t=s\n t=(s)/(v)\n (0,5s)/(60)+(0,5s)/(50)-0,5=(s)/(55)\n\n (1)/(120)s+(1)/(100)s-(1)/(55)s=(1)/(2)\n (1)/(6600)s=(1)/(2)\n s=3300miles\n Distance\ from\ town\ X\ to\ town\ Y\ is 1650miles.$

Answer:

1650 miles

Step-by-step explanation:

The image of a parabolic lens is traced onto a graph. The function f(x) = (x + 8)(x – 4) represents the image. At which points does the image cross the x-axis?A.(–8, 0) and (4, 0)
B.(8, 0) and (–4, 0)
C.(2, 0) and (–1, 0)
D.(–2, 0) and (1, 0)

Answers

The right answer for the question that is being asked and shown above is that: "B.(8, 0) and (–4, 0).' The image of a parabolic lens is traced onto a graph. The function f(x) = (x + 8)(x – 4) represents the image. At B.(8, 0) and (–4, 0) points does the image cross the x-axis.

Answer:

Step-by-step explanation: b is wrong a is right I took the test

10 is 60% of what number please help