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1 year ago

Exercice 1

Mathematics

1 answer:

Tanya [424]1 year ago

8 0

you. aren't.

alone..........

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Probe that:<br><img src="https://tex.z-dn.net/?f=%20%5Csec%20%5Calpha%20%20%5Csqrt%7B1%20-%20%20%5Csin%28%20%7B%7D%5E%7B2%7D%20%

Nataly [62]

Step-by-step explanation:

<h3> $\sec \alpha \sqrt{1 - \sin ^{2} \alpha } = 1$ </h3>

Prove the LHS

Using trigonometric identities

That's

<h3> $\cos ^{2} \alpha = 1 - \sin^{2} \alpha$ </h3>

<u>Rewrite the expression</u>

We have

<h3> $\sec \alpha \sqrt{ \cos^{2} \alpha }$ </h3>

<h3> $\sqrt{ { \cos }^{2} \alpha } = \cos \alpha$ </h3>

So we have

<h3> $\sec \alpha \times \cos \alpha$ </h3>

Using trigonometric identities

<h3> $\sec \alpha = \frac{1}{ \cos \alpha }$ </h3>

<u>Rewrite the expression</u>

That's

<h3> $\frac{1}{\cos \alpha } \times \cos \alpha$ </h3>

Reduce the expression with cos a

We have the final answer as

As proven

Hope this helps you

7 0

3 years ago

Is this right and can someone show me the explanation plz?and how to do the problem I have to show my work

Zina [86]

Answer:

yes it is.

x = 4 and y = -3

Step-by-step explanation:

Solve simultaneously using elimination method:

equation 1 - equation 2

3x + y = 9 equation 1

-2x + y = 5 equation 2

_________

x = 4

plug 4 into any of the 2 equations and solve for y.

3(4) + y = 9

12 + y = 9

12-12 + y = 9-12

y = -3

7 0

2 years ago

A spinner has 5 equally sized sections, 1 of which is gray and 4 of which are blue. The spinner is spun twice. What is the proba

nignag [31]

The first time is 4 over 5 and the second time is 1 over 5

4 0

3 years ago

whats my test mean by Match the two numbers with their least common multiple (LCM). Match Term Definition 8 and 4 A) 40 8 and 6

Mandarinka [93]

A is not try c it has to be c

3 0

2 years ago

Y=f(x)=(1/9)^x find f(x) when x=(1/2)

tatyana61 [14]

Answer:

$\frac{1}{3}$

Step-by-step explanation:

In this question, you would solve the for f(x) by plugging in the given value to x.

Solve:

$\frac{1}{9}^\frac{1}{2}$

Distribute the exponent to the numerator and denominator.

$\frac{1^\frac{1}{2}}{9^\frac{1}{2}}$

Simplify.

$\\\\\frac{1^\frac{1}{2}}{9^\frac{1}{2}}\\\\9^\frac{1}{2}=3\\\\\frac{1^\frac{1}{2}}{3}}\\\\$

Use the $1^a = 1\,\text{}$ rule for the numerator:

$\frac{1}{3}$

Your final answer would be $\frac{1}{3}$

8 0

2 years ago