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Sliva [168]
3 years ago
6

Need help with this​

Mathematics
2 answers:
Marta_Voda [28]3 years ago
6 0

\cos \beta + \sin \beta \tan \beta \\\\= \cos \beta + (\tan \beta \cos \beta) \tan \beta \\\\=\cos \beta + \tan^2 \beta \cos \beta \\\\=\cos \beta( 1+ \tan^2 \beta)\\\\= \cos \beta \sec^2 \beta\\\\= \dfrac 1{\sec \beta} \times \sec^2 \beta \\\\= \sec \beta

AleksandrR [38]3 years ago
3 0

Step-by-step explanation:

\cos( \beta  )  +  \sin( \beta )  \tan( \beta )  =  \sec( \beta )

\cos( \beta )  +  \sin( \beta )  \frac{ \sin( \beta ) }{ \cos( \beta ) }

\cos( \beta )  +  \frac{ \sin {}^{2} ( \beta ) }{ \cos( \beta ) }

\frac{ \cos {}^{2} ( \beta ) }{cos \beta }  +  \frac{ \sin {}^{2} ( \beta ) }{ \cos( \beta ) }

\frac{1}{ \cos( \beta ) }

=  \sec( \beta )

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True - since the outlier is way off it will cause your average to mess up which is why we test multiple times to make sure we are more accurate with our numbers
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2 years ago
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100 POINTS, WILL MARK BRAINLIEST! If h(x) = f[f(x)] use the table of values for f and f ′ to find the value of h ′(1).
victus00 [196]

Answer:

The value of h^\prime(1)=5

Step-by-step explanation:

Given that  h(x)=f(f(x))

now to find h(x)=f(f(x)) from the given functions f(x) and f'x

let h(x)=f(f(x))

Then put x=1 in above function we get

h(1)=f(f(1))

=f(3) (from the table f(1)=3 and f(3)=6)

Therefore h(1)=6

Now to find h'(1)

Let

h^{\prime}(x)=f^{\prime}(f^\prime(x)) (since  h(x)=f(f(x)) )

put x=1 in above function we get

h^{\prime}(1)=f^{\prime}(f^\prime(1))

=f^{\prime}(2)    (From the table f^\prime(1)=2 and f^\prime(2)=5)

h^{\prime}(1)=5

Therefore h^{\prime}(1)=5

4 0
3 years ago
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01. Se tienen los angulos consecutivos AOB, BOC y COD. se cumple m&amp; AOC=125° m <br>​
Citrus2011 [14]

La diferencia entre los ángulos <em>AOB</em> y <em>COD</em> del sistema de tres ángulos <em>consecutivos</em> es igual a 25°.

La medida del ángulo BOC pertenenciente al sistema de tres ángulos consecutivos es igual a 20°.

<h3>Cómo analizar tres ángulos consecutivos</h3>

Por la geometría Euclídea conocemos que un conjunto de ángulos cuando comparten entre cada par de ángulos vecinos comparten el mismo vértice y la misma semirrecta.

De acuerdo con el enunciado, tenemos las siguientes condiciones:

∠AOB + ∠BOC = 125°   (1)

∠BOC + ∠COD = 100°  (2)

Por (1) y (2) tenemos las siguiente identidad:

∠AOB - 25° = ∠COD

∠AOB - ∠COD = 25°

La diferencia entre los ángulos <em>AOB</em> y <em>COD</em> del sistema de tres ángulos <em>consecutivos</em> es igual a 25°. \blacksquare

En el segundo caso, tenemos el siguiente sistema:

∠AOB = ∠BOC + ∠COD     (3)

∠AOB + ∠BOC - ∠COD = 40°     (4)

Por (3) y (4) tenemos la siguiente identidad:

2 · ∠BOC = 40°

∠BOC = 20°

La medida del ángulo BOC pertenenciente al sistema de tres ángulos consecutivos es igual a 20°. \blacksquare

Para aprender más sobre ángulos, invitamos cordialmente a ver esta pregunta verificada: brainly.com/question/21209282

8 0
2 years ago
The members of a basketball team are selling shirts during spirit week. The cost is $15 for the design and $2.50 to print each t
zhannawk [14.2K]

Answer:

The slope is 2.5 and the y-intercept is 15.

Step-by-step explanation:

The slope is 2.5 and the y-intercept is 15.

m= slope

b= y-intercept

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Aliun [14]

Answer: 42/11 = 21/5.5

Step-by-step explanation:

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2) Therefore, the ratio is 42/11.

3)The adjacent sides to the right angle are 21 and 5.5.

4)Therefore, the ratio is 21/5.5

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