Ask question

Ask question

All categories

gayaneshka [121]

3 years ago

14

Verify this cofunction identity by using the difference identity for cosine. Show your work! cos⁡(π/2-θ)=sinθ

1 answer:

taurus [48]3 years ago

8 0

Cos(A-B) = cosAcosB + sinAsinB
<span>
cos(</span>π/2 - θ) = cos(π/2)cosθ + sin(π/2)sinθ

π/2 = 90°
cos(π/2) = cos90° = 0. sin(π/2) = sin90° = 1

cos(π/2 - θ) = cos(π/2)cosθ + sin(π/2)sin<span>θ
</span>
= 0*cosθ + 1*sin<span>θ = </span>sin<span>θ

Therefore </span>cos(π/2 - θ) = sin<span>θ

QED </span>

You might be interested in

5. Find the surface area of the cone. Round to<br> the nearest hundredth.<br> 2 ft<br> 6 ft

den301095 [7]

Answer:

$52.3m^2$

Step-by-step explanation:

Use these formulas

$A=\pi rl+\pi r^2\\l=\sqrt{r^2+h^2}$

Now solve

$A=\pi r(r+\sqrt{h^2+r^2} )\\=\pi *2*(2\sqrt{6^2+2^2} )\\=52.3m^2$

4 0

3 years ago

Select the correct solution set.<br> X+17 5 -3<br> {XIX2-20)<br> {XIXS-20)<br> [xl xs 14

gtnhenbr [62]

Answer:

x≤-20

Step-by-step explanation:

x+ 17≤-3

Subtract 17 from each side

x+ 17 -17≤-3-17

x≤-20

3 0

3 years ago

Write an equation (a) in slope-intercept form and (b) in standard form for the line passing through (22,99) and perpendicu

liberstina [14]

Y-99=-1/33(x-22)

a). y = 1/33x + 98 1/3

b) 33y = x + 109 1/3
x - 33y = -109 1/3

5 0

3 years ago

A) Antoine's family is taking a summer vacation through the northern united states on day one of the trips the family will be tr

kirill115 [55]

Answer:

<h2>621.207km</h2>

Step-by-step explanation:

We are expected to convert from miles to kilometer

first day 85 miles =136.794km

Second day 125 mile=201.168km

third day 176 miles =283.245km

Total distance covered is

136.794km+201.168km+283.245km=621.207km

Therefore the total distance in kilometer is 621.207km

8 0

3 years ago

What is the area of a triangle that has a height of 10 feet and base length of 6 feet

disa [49]

Answer:

A = 30

Step-by-step explanation:

The area of a triangle is $\frac{1}{2} bh$

Plug in the values given:

A = 1/2 (10) (6) = 1/2 (60) = 30

4 0

3 years ago