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GREYUIT [131]
2 years ago
10

How to do question 27

Mathematics
1 answer:
GenaCL600 [577]2 years ago
5 0
1/(sin(90 + θ)cos(360 - θ))     -   tan²(-θ)

Note:

 sin(90 + θ) = cosθ        Cosine and Sine are complementary.

cos(360 - θ) = cosθ      Cosine positive in 4th quadrant.

tan(-θ) = -tanθ          Negative angle concept.


1/(sin(90 + θ)cos(360 - θ))     -   tan²(-θ) =  1/(cosθcosθ)     -   (-tanθ)²

                                                                 =  1/(cos²θ)     -       tan²θ

                                                                  =  (1/cosθ)²     -       tan²θ
Note: 1/cosθ = secθ

                                                                 =  (secθ)²     -       tan²θ

                                                                  =  sec²θ     -       tan²θ

                                                                  =  1


Note that    1+ tan²θ = sec²θ is a Trigonometric identity.

That means:  sec²θ     -       tan²θ = 1

Hope this explains it.
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Finger [1]

The sequence will be


850, 850 \times (1.018)^1, 850 \times (1.018)^2, 850 \times (1.018)^3, 850 \times (1.018)^4, ...


That's


850, 865.30, 880.875, 896.731, 912.872, ...



8 0
3 years ago
Read 2 more answers
The peak at transfer camera is 10 8.7 he travels 7.5 metre in car and took a break how much more he has to travel to reach the t
MAVERICK [17]

The question is not well formatted

Let's assume that the peak value Given is 108.7m

However, If that is not the actual value, then you can just follow the steps with the actual value to obtain your answer.

Answer:

101.2 meters

Step-by-step explanation:

Taking the peak Given as 108.7 m

The distance traveled by car = 7. 5 meters

The distance left to reach the top of the mountain :

108.7 meters - 7.5 meters

= 101.2 meters

6 0
2 years ago
Juan went to Walmart to buy notebooks and
9966 [12]

Answer:

Juan went to Walmart to buy notebooks and

highlighters for his classes. Notebooks cost $3

while highlighters cost $4. Juan bought 12 items

and he spent a total of $42. Write a system of

equations that describes this situation

Step-by-step explanation:

3+4÷42

8 0
3 years ago
Put together, Tom and his father away 280 pounds. Tom’s dad weighs three times as much as he does. How much does Tom weigh?
vovangra [49]

Answer:

Tom weighs 70 pounds

Step-by-step explanation:

first, you have to set up your equation which would be, x + 3x = 280.

The x stands for Tom's weight and the 3x stands for three times Tom's weight for the dad. You would then add your like terms, then divide by 4 to get 70.

x + 3x = 280

4x = 280

280/4 = 70

x = 70

Hope this helps!

3 0
3 years ago
Help ya girl out please
Jet001 [13]
Answer: 2,592











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