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3 years ago

PLEASE Help Find only the tenth term

Mathematics

1 answer:

kenny6666 [7]3 years ago

4 0

1. 30

2. 16

3. 14

4. 26

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16) Please help with question. WILL MARK BRAINLIEST + 10 POINTS.

Katyanochek1 [597]

We will use the sine and cosine of the sum of two angles, the sine and consine of $\frac{\pi}{2}$ , and the relation of the tangent with the sine and cosine:

$\sin (\alpha+\beta)=\sin \alpha\cdot\cos\beta + \cos\alpha\cdot\sin\beta

\cos(\alpha+\beta)=\cos\alpha\cdot\cos\beta-\sin\alpha\cdot\sin\beta$

$\sin\dfrac{\pi}{2}=1,\ \cos\dfrac{\pi}{2}=0$

$\tan\alpha = \dfrac{\sin\alpha}{\cos\alpha}$

If you use those identities, for $\alpha=x,\ \beta=\dfrac{\pi}{2}$ , you get:

$\sin\left(x+\dfrac{\pi}{2}\right) = \sin x\cdot\cos\dfrac{\pi}{2} + \cos x\cdot\sin\dfrac{\pi}{2} = \sin x\cdot0 + \cos x \cdot 1 = \cos x$

$\cos\left(x+\dfrac{\pi}{2}\right) = \cos x \cdot \cos\dfrac{\pi}{2} - \sin x\cdot\sin\dfrac{\pi}{2} = \cos x \cdot 0 - \sin x \cdot 1 = -\sin x$

Hence:

$\tan \left(x+\dfrac{\pi}{2}\right) = \dfrac{\sin\left(x+\dfrac{\pi}{2}\right)}{\cos\left(x+\dfrac{\pi}{2}\right)} = \dfrac{\cos x}{-\sin x} = -\cot x$

3 0

4 years ago

Estimate the quotient

juin [17]

57.8 can be rounded to 60 because 57.8 is closer to 60 than 50 and 81 is relatively close to 80. if we had to estimate the quotient, we would have

60 ÷ 80 = 0.75

2.8 can be rounded to 3 because 2.8 is closer to 3 than it is to 2 and 6 can be left alone because it will make our division easier.

3 ÷ 6 = 0.5

#11

737.5 can be rounded to 700 and 9 can be rounded to 10.

700 ÷ 10 = 100

4 0

4 years ago

Which expressions are equivalent after simplifying? Check all that apply. (3.1a – 2.7b) + (1.5a – 4.9b) (2.3a + 0.2b) – 8b (–3.5

fomenos

Answer:

1st one 3rd one and last kne

Step-by-step explanation:

4 0

4 years ago

Read 2 more answers

Which equation can be used to find the unknown length, b, in this triangle?

Romashka-Z-Leto [24]

The equation for finding the hypotneus of a right triangle is
${a }^{2} + {b}^{2} = c {}^{2}$
so we know that 4²+b²=5²
so that would simplify as 16+b=25
so x=25-16
which is 9
so therefore we can conclude that
$b = 9inches$

3 0

3 years ago

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I’m having a hard time with finding the angles

MakcuM [25]

Answer:

I don't know angles at all please ask your teacher for help...

Step-by-step explanation:

5 0

3 years ago