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3 years ago

The 17th amendment allows for the direction election to what?

1 answer:

7 0

The 17th amendment basically just modified Article I, section 3, of the Constitution by allowing voters to directly vote for U.S. Senators. Before it was passed, Senators were chosen by state legislatures.

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Futhe Mathematics <img src="https://tex.z-dn.net/?f=%28Cos%20%7B%7D%5E%7B4%7Dt%20-Sin%20%7B%7D%5E%7B4%7Dt%20%29%20%20%5Cdiv%2

Nastasia [14]

Answer:

cos2t/cos²t

Step-by-step explanation:

Here the given trigonometric expression to us is ,

$\longrightarrow \dfrac{cos^4t - sin^4t }{cos^2t }$

We can write the numerator as ,

$\longrightarrow \dfrac{ (cos^2t)^2-(sin^2t)^2}{cos^2t }$

Recall the identity ,

$\longrightarrow (a-b)(a+b)=a^2-b^2$

Using this we have ,

$\longrightarrow \dfrac{(cos^2t + sin^2t)(cos^2t-sin^2t)}{cos^2t}$

Again , as we know that ,

$\longrightarrow sin^2\phi + cos^2\phi = 1$

Therefore we can rewrite it as ,

$\longrightarrow \dfrac{1(cos^2t - sin^2t)}{cos^2t}$

Again using the first identity mentioned above ,

$\longrightarrow \underline{\underline{\dfrac{(cost + sint )(cost - sint)}{cos^2t}}}$

Or else we can also write it using ,

$\longrightarrow cos2\phi = cos^2\phi - sin^2\phi$

Therefore ,

$\longrightarrow \underline{\underline{\dfrac{cos2t}{cos^2t}}}$

And we are done !

$\rule{200}{4}$

Additional info :-

Derivation of cos²x - sin²x = cos2x :-

We can rewrite cos 2x as ,

$\longrightarrow cos(x + x )$

As we know that ,

$\longrightarrow cos(y + z )= cosy.cosz - siny.sinz$

So that ,

$\longrightarrow cos(x+x) = cos(x).cos(x) - sin(x)sin(x)$

On simplifying,

$\longrightarrow cos(x+x) = cos^2x - sin^2x$

Hence,

$\longrightarrow\underline{\underline{cos (2x) = cos^2x - sin^2x }}$

$\rule{200}{4}$

7 0

3 years ago

If 32%=80 what does 100%=

emmasim [6.3K]

32/80 so divide that by 5 = 6.4/20 then multipy that by 100/1 so the answer is 640

3 0

3 years ago

Read 2 more answers

What is the first step in solving and graphing the inequality 4x – 3y = 5?

olasank [31]

Answer: I think its d if im wrong im so sorry

4 0

3 years ago

Read 2 more answers

What is the range of y equals log 8 x

azamat

Answer:

(-∞, ∞)

Step-by-step explanation:

The range of any log function is all real numbers.

4 0

3 years ago

Knowing that ΔQPT ≅ ΔARZ, a congruent angle pair is:

Naddika [18.5K]

Answer:

C. ∠T ≅ ∠Z

Step-by-step explanation:

The order of listed vertices determines which angles correspond to each other, given that the triangles are congruent. Since T and Z correspond, and the triangles are congruent, the angles must be congruent.

8 0

3 years ago