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ella [17]
3 years ago
8

What basic trigonometric identity would you use to verify that (sin2x + cos2x)/cosx=secx

Mathematics
2 answers:
Oksana_A [137]3 years ago
7 0

Answer:

Step-by-step explanation:

sin(2x) = 2 sin(x) cos(x) cos(2x) = cos2(x) – sin2(x) = 1 – 2 sin2(x) = 2 cos2(x) – 1. Now I am not sure if this is right but I remember another similar formula. Here is the correct formula cot x = cos x / sin x

2 ) ( sin² x + cos² x ) / cos x = sec x

1/cos x = sec x

sec x = sec x

cos² x + sin² x = 1

Papessa [141]3 years ago
3 0

Step-by-step explanation:

\frac{ \ {sin}^{2} x +  { \cos}^{2} x}{cos \: x}   = sec \: x \\  \\ LHS  \\ = \frac{ \ {sin}^{2} x +  { \cos}^{2} x}{cos \: x}    \\  \\  =  \frac{ 1}{cos \: x} \:( \because \:    \ {sin}^{2} x +  { \cos}^{2} x = 1) \\  \\  = sec \: x \\  = RHS \\

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A total of 20% of a fire department's firefighters are in the Special Units Division. A total of 8% of the department's firefigh
ankoles [38]
The answer is c. 40%
3 0
3 years ago
Solve the equation. |x + 5| = 9 {–4, 14} {–14, 4} {4, 14} {–14, –4}
inna [77]

Answer:

{-14, 4}

Step-by-step explanation:

the absolute value function only makes sure that the result always has a positive sign.

so, (x + 5) must be either +9 or -9 to make the original equation true. the absolute value would turn both into +9.

so,

x + 5 = 9

x = 4

and

x + 5 = -9

x = -14

that gives us the correct set of solutions as indicated above.

6 0
3 years ago
An oblique hexagonal prism has a base area of 42
AlekseyPX

Answer:

168 cm³

Step-by-step explanation:

The base area of the oblique hexagonal prism = 42 cm²

the height of the prism = 4 cm

Volume of the prism = Base area × height = 42 cm² × 4 cm = 168 cm³

7 0
3 years ago
Choose the correct equation for the line shown on the graph?
fomenos

<u>Answer:</u>

y=-1/4x-1

<u>How to find the </u><u>slope</u>

To find the slope of the line you need to do the change in y/change in x. This is also known as the rise/run. To do this you count the spaces in between the two points.

In this graph the change in y (rise) is 2. The change in x (run) is 8. Since the line is going down they are negative. The rise/run is -2/8. This can be simplified to -1/4.

Slope: -1/4x

<u>How to find the y-intercept</u>

To find the y-intercept, you need to look at where the line crosses y.

In this graph the line crosses y at -1.

Y-intercept: -1

<u>Final</u><u> </u><u>equation</u><u>:</u><u> </u><u>-</u><u>1</u><u>/</u><u>4x-1</u>

3 0
2 years ago
The length of the rectangular tennis court at wimbledon is 6 feet longer than twice the width. if the court's perimeter is 240 f
KATRIN_1 [288]

Length (L): 2w + 6

width (w): w

Perimeter (P) = 2L + 2w

               240 = 2(2w + 6) + 2(w)

               240 = 4w + 12 + 2w

               240 = 6w + 12

               228 = 6w

                 38 = w

Length (L): 2w + 6   = 2(38) + 6   = 76 + 6   = 82

Answer: width = 38 ft, length = 82 ft

8 0
3 years ago
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