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svp [43]
3 years ago
14

Given sinθ = 2/5 and cosθ < 0: 1. Find cscθ 2. Find cotθ

Mathematics
1 answer:
Tems11 [23]3 years ago
5 0

Recall that

sin²(<em>θ</em>) + cos²(<em>θ</em>) = 1

for all <em>θ</em>, and given that cos(<em>θ</em>) < 0, we find that

cos(<em>θ</em>) = -√(1 - sin²(<em>θ</em>)) = -√(1 - (2/5)²) = -√(21)/5

Now,

csc(<em>θ</em>) = 1/sin(<em>θ</em>) = 1/(2/5) = 5/2

and

cot(<em>θ</em>) = cos(<em>θ</em>)/sin(<em>θ</em>) = (-√(21)/5)/(2/5) = -√(21)/2

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Shyam invested money in the stock market
sergiy2304 [10]
Given that question: Shyam invested money in the stock market. In the first year, his stock increased 20%. He paid his stock broker $300 and then lost $450. He withdrew $500, and then his remaining investment doubled. Shyam’s investment is now worth $7100. How much was Shyam’s original investment?

The solution is as follows:

Let the amount Shyam invested in the stock market be x, then in the first year his stock increased by 20% giving 1.2x.

He paid his stockbrocker $300 to have 1.2x - $300 left, and he lost $450 to have 1.2x - $300 - $450 = 1.2x - $750 left.

He withdrew $500 to have 1.2x - $750 - $500 = 1.2x - $1,250 left.

His remaining investment doubled to have 2(1.2x - $1,250) = 2.4x - $2,500

Shyam's investment is now worth $7,100 which means that
2.4x - $2,500 = $7,100
2.4x = $7,100 + $2,500 = $9,600
x = $9,600 / 2.4 = $4,000

Therefore, the value of Shyam's original investment is $4,000
5 0
3 years ago
2 What is the vertex of the following parabola?
Sliva [168]

Answer:

B.(-12,9) thats the answer enjoy :>

4 0
3 years ago
Factor completely. n ^4 - 1
inna [77]
(n^4 - 1) = (n^2 - 1) (n^2 +1) = (n - 1) (n + 1) (n^2 + 1)
8 0
4 years ago
Read 2 more answers
Place the correct coefficients<br> x²y³ +<br> in the difference.<br> xy² +<br> y
antiseptic1488 [7]

The difference between the two polynomials is 11x²3y³ - 4xy².

<h3>What is the Difference between the Polynomials?</h3>

The difference between two polynomials is the result you get by subtracting one from the other.

Thus:

= (4x²2y³ + 2xy² – 2y) – (–7x²y³ + 6xy² – 2y)

= 4x²2y³ + 2xy² – 2y + 7x²y³ - 6xy² + 2y

= 11x²3y³ - 4xy²

Learn more about polynomials on:

brainly.com/question/2833285

#SPJ1

8 0
2 years ago
Suppose two players are playing a game, Even and Odd. Each player has a penny and must secretly turn the penny to heads or tails
anzhelika [568]

Answer:

1.  

E(down) / Odd(Across)     H                  T

H                                  (1,-1)        (-1,1)

T                                   (-1,1)        (1,-1)

2. Even doesn't have a dominant strategy as both the strategies are providing equal payoffs for pure strategy.

3 0
3 years ago
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