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olchik [2.2K]
3 years ago
14

Verify the identity algebraically: Csc(-x)tanx =-secx

Mathematics
1 answer:
weqwewe [10]3 years ago
5 0

Step-by-step explanation:

Recall that

\sin(-x) = -\sin x

Therefore,

\csc(-x) = \dfrac{1}{\sin(-x)} = -\dfrac{1}{\sin x}

so

\csc(-x)\tan x = \left(-\dfrac{1}{\sin x}\right)\left(\dfrac{\sin x}{\cos x}\right)

\:\:\:\:\:\:\:\:\:= -\dfrac{1}{\cos x} = -\sec x

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Graph the linear equation find three points that solve the equation, then plot on the graph y=-x+2
Maslowich

Step-by-step explanation: x= 2-y then plug that in for x so y= 2-y+2;

y=4-y; -4y=-y; y=-1/4

4 0
3 years ago
Phyllis invested $11,000, a portion earning a simple interest rate of
NeTakaya

Answer:

First = 1000

Second = 10,000

Step-by-step explanation:

Given the following :

Amount invested = $11,000

A portion earns 2 1/2 % interest per year

The rest earns a rate of 2% per year

Total Interst earned after a year = $255

Amount invested at each rate

Let amount invested at 2 1/2% = a

Amount invested at 2% = 11,000 - a

Simple interest = principal * rate * time

First investment :

a * 5/2% * 1

Second :

(11000 - a) * 2%

Firat investment + second = $225

a * 0.025 + (11000 - a) * 0.02 = 225

0.025a + 220 - 0.02a = 225

0.005a = 225 - 220

0.005a = 5

a = 5 / 0.005

a = 1000

Amount in first investment = 1000

Second investment = 11000 - 1000 = 10,000

3 0
3 years ago
Which shows the correct substitution of the values a, b, and c from the equation 0 = 4x2 + 2x – 1 into the quadratic formula bel
lidiya [134]
0 = 4x²<span> + 2x – 1

this equation is already ordered by degree, so it's in the correct form. the standard form of a parabola is like so: 0 = A</span>x² + Bx - C

that's exactly how you plug values into the quadratic formula. the coefficient for your squared value, A, is 4. take the coefficients from your other numbers as well.

a = 4
b = 2
c = -1
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3 years ago
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