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laiz [17]
3 years ago
8

Use trig identities to transform the left side of the equation to the right side.

Mathematics
1 answer:
Taya2010 [7]3 years ago
7 0

<u>Answer and explanation</u>

(1+sinθ)(1-sinθ)=cos²θ

We are to prove that the left hand side is equal to the right hand side.

(1+sinθ)(1-sinθ) = 1(1-sinθ) + sinθ(1-sinθ)

                         = 1 - sinθ + sinθ - sin²θ

                          = 1 - sin²θ

From the trigonometric identity sin²θ + cos²θ = 1,

1 - sin²θ = cos²θ


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Total consumption of fruit juice in a particular country in 2006 was about 1.86 billion
hram777 [196]

Answer:

Step-by-step explanation:

Kindly check explanation

Step-by-step explanation:

The population of that country in 2006 was 500 million. What was the average number of

gallons of fruit juice consumed per person in the country in 2006? Use pencil and paper. Using the per

person amount from this problem, about how many gallons would your class consume?

Total consumption in 2006 = 2.11 billion gallons (2,110,000,000)

Population of country in 2006 = 500,000,000

Average number of gallons of fruit juice consumed per person in the country in 2006:

Total consumption / total population

2,110,000,000 / 500,000,000

= 4.22 gallons per person

Number of gallons class will consume :

Assume number of students in class = 15

Hence, class consumption equals:

Average consumption per person × number of students in class :

4.22 × 15 = 63.3 gallons

3 0
2 years ago
15. Explain why we need to specify 0 &lt; b &lt; 1 and b &gt; 1 as valid values for the base b in the expression logb(xx).
damaskus [11]

Answer:

The base (b) has to be positive and different of 1. The logarithm is the inverse of exponential, so:

logb(a) = x ⇒ a = bˣ

So, for b = 0 ⇒ 0ˣ = a

And there is impossible, "a" only could be 0.

For b = 1 ⇒ 1ˣ = a

And the same thing would happen, the logarithming would be to be 1, and the function will be extremally restricted.

For b<0, then the expression a = bˣ will be also restricted, and will not represent all values of a.

So, 0<b<1 and b >1.

3 0
3 years ago
1)Kamala’s mother gave her a 100 Rupee note .Kamala bought a pen for Rs.68.50.How much money will be left with her?
baherus [9]

Answer:

100- 68.50 = 31. 50 rupees

Step-by-step explanation:

that is 31 rupees and 50 paise

3 0
3 years ago
Read 2 more answers
Find the slope from the two points given: (2, 1) and (3,-10)
Lana71 [14]

Answer:

-11

Step-by-step explanation:

let (2,1)be x1 and y1 respectively

(3,-10) be x2 and y2 respectively

From,slope= (y2-y1)/(x2-x1)

=(-10-1)/(3-2)

= -11/1

= -11

6 0
3 years ago
Find the area of the figure:  Select one: a. 59.5 yd^2 b. 81 yd^2 c. 58.5 yd^2 d. 55.3 yd^2
lions [1.4K]
Answer would be 58.5 yd^2 .

You should take the base of the triangle multiplied by the height.

Formula: 1/2×base×height

In this case, you know that base is 13yd and height is 9 yd.

So, apply the formula.

Area = 1/2(13yd)(9yd) = 58.5 yd^2

*Do not include the " invisible length as it is not part of the actual triangle.

*Do not include 32yd as it is a hypotenuse and not a base. Hypotenuse is a side that is opposite a right angle triangle.
8 0
3 years ago
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