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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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Step-by-step explanation:

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3 years ago
Classify the triangles as acute obtuse or right
andreyandreev [35.5K]
Umm what triangles :|
3 0
3 years ago
On average, 15 minutes elapse between discoveries of fraudulent corporate tax returns in a certain IRS office. What is the proba
Lyrx [107]

Answer:

The probability that more than 30 minutes will elapse before the next fraudulent corporate tax return is discovered=0.1353

Step-by-step explanation:

We are given that

\beta=15

We have to find the probability that more that 30 minutes  will elapse before the next fraudulent corporate tax return is discovered.

Using exponential distribution

P(X> x)=e^{-\frac{x}{\beta}}

The probability that more than 30 minutes will elapse before the next fraudulent corporate tax return is discovered

=P(x>30)=e^{-\frac{30}{15}}

The probability that more than 30 minutes will elapse before the next fraudulent corporate tax return is discovered

P(x>30)=0.1353

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5 0
2 years ago
8.7 billion in scientific notation
lisov135 [29]
<span><span>1.       </span>Give the scientific notation of 8.7 billion.
8.7 billion = 8 700 000 000
Scientific notation is the process of multiplying the given number by 10 to the power of n.
Since  billion has 9 zeros that’s equals to 10^9
=> 8.7 x 10^9
let’s try solving this
=> 8.7 x (10 * 10 * 10 * 10 * 10 * 10 * 10 * 10 * 10)
=> 8.7 x 1 000 000 000
=> 8 700 000 000
Thus, our scientific notation of 8.7 billion is 8.7 x 10^9</span>



3 0
3 years ago
Read 2 more answers
If there is a value of x to satisfy the equation
Ilia_Sergeevich [38]

Answer:

If x satisfy equation g mast be different of 3.

Step-by-step explanation:

-(x+3)+4(x-9)=gx-2

-x-3+4x-36=gx-2

3x-39=gx-2

3x-gx=-2+39

x(3-g)=37

If x satisfy equation g mast be different of 3.

6 0
3 years ago
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