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3 years ago

Sin(2x+30°)=1 Tìm x Cảm ơn vì giúp đỡ

Mathematics

1 answer:

Pie3 years ago

4 0

Answer:

Step-by-step explanation:

This question is asking us to find where sin(2x + 30) has a sin of 1. If you look at the unit circle, 90 degrees has a sin of 1. Mathematically, it will be solved like this (begin by taking the inverse sin of both sides):

$sin^{-1}[sin(2x+30)]=sin^{-1}(1)$

On the left, the inverse sin "undoes" or cancels the sin, leaving us with

2x + 30 = sin⁻¹(1)

The right side is asking us what angle has a sin of 1, which is 90. Sub that into the right side:

2x + 30 = 90 and

2x = 60 so

x = 30

You're welcome!

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3) x2+ y2 - x + 3y - 42 = 0 X+y=4

REY [17]

The solution is $(-1,5)$ and $(7,-3)$

Step-by-step explanation:

The expression is $x^{2} +y^{2} -x+3y-42=0$ and $x+y=4$

Using substitution method we can solve the expression.

Let us substitute $x=4-y$ in $x^{2} +y^{2} -x+3y-42=0$

$(4-y)^{2} +y^{2} -(4-y)+3y-42=0$

Expanding and simplifying the expression, we get,

$\begin{array}{r}{16-8 y+y^{2}+y^{2}-4+y+3 y-42=0} \\{2 y^{2}-4 y-30=0}\end{array}$

Let us use the quadratic equation formula to solve this equation,

$\begin{aligned}y &=\frac{4 \pm \sqrt{16-4(2)(-30)}}{2(2)} \\&=\frac{4 \pm \sqrt{16+240}}{4} \\&=\frac{4 \pm 16}{4} \\y &=1 \pm 4\end{aligned}$

Thus, $y=5$ and $y=-3$

Substituting y-values in the equation $x+y=4$ , we get the value of x.

For $y=5$ ⇒ $x=4-5=-1$

For $y=-3$ ⇒ $x=4+3=7$

Thus, the solution set is $(-1,5)$ and $(7,-3)$

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3 years ago

Help ASAP For brainlessly

Dennis_Churaev [7]

Answer:

Step-by-step explanation:

The inequality says greater than or equal to 8, which means the first two are automatically ruled out because they are both less than/equal to.

Then look at C and D, D starts at 3 and C starts at 8 so the answer should be C

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Ilia_Sergeevich [38]

Answer:

Step-by-step explanation:

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3 years ago

ASAP ANSWERRR If a sequence is defined recursively by f(0)=4 and f(n+1)= -3f(n)+1 for n≥0, the f(3) is equal to

LenaWriter [7]

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3 years ago

jen picked 3/4 of a gallon of strawberries in a half of hour .if she keeps picking strawberries at the same rate.how many gallon

ivolga24 [154]

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