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spayn [35]
3 years ago
7

Help please trigonometric identities

Mathematics
2 answers:
ikadub [295]3 years ago
8 0
Sin^2x ( 1 + cot^2x) = 1
Change cot^2x to cos/sin
Sin^2x(1+cos^2x/sin^2x))=1
Distribute the sin^2x
Sin^2x + cos^2x = 1
1 = 1
bija089 [108]3 years ago
3 0
Cot=cos/sin

so, it becomes sin^2+cos^2=1

that proves it
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3 years ago
Identify the sine function with the given attributes.
Thepotemich [5.8K]

Answer:

<em>Last option </em>

f(t)=sin(\pi(t -3)) + 4

Step-by-step explanation:

The general sine function has the following form  

y = Asin(bt-\phi) + k

Where A is the amplitude: half the vertical distance between the highest peak and the lowest peak of the wave.  

\frac{2\pi}{b} is the period: time it takes the wave to complete a cycle.

k is the vertical displacement.

\phi phase shift

We know that:

amplitude: 1; period: 2; phase shift: 3; vertical shift: 4

Thus:

A =1

\frac{2\pi}{b}=2

b=\pi

\phi=3

k=4

Then the function is:

f(t)=sin(\pi(t -3)) + 4

The answer is last option

4 0
3 years ago
Simplify 1/4-(-1/5)/3/5
IRINA_888 [86]

Answer:

exact form:37/100 Decimal Form: 0.37

Step-by-step explanation:

4 0
3 years ago
Solve the inequality for w. w-7&lt;21
Radda [10]
Add 7 to each side of the inequality.

w < 28.
8 0
3 years ago
Write an equation for the perpendicular line to the line whose equation is 4y-5x=20 that contains the point (-2,-3)
yuradex [85]

Answer:

4x + 5y = - 23

Step-by-step explanation:

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

rearrange 4y - 5x = 20 into this form

add 5x to both sides

4y = 5x + 20 ( divide all terms by 4 )

y = \frac{5}{4} x + 5 ← in slope-intercept form

with slope m = \frac{5}{4}

given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m}, hence

m_{perpendicular} = - 1 / \frac{5}{4} = - \frac{4}{5}

y = - \frac{4}{5} x + c ← is the partial equation

to find c substitute (- 2, - 3) into the partial equation

- 3 = \frac{8}{5} + c ⇒ c = - \frac{23}{5}

y = - \frac{4}{5} x - \frac{23}{5} ← in slope-intercept form

multiply all terms by 5

5y = - 4x - 23 ( add 4x to both sides )

4x + 5y = - 23 ← in standard form




7 0
3 years ago
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