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notka56 [123]
2 years ago
8

For what value of theta does sin 2theta = cos(theta+30)? Show steps

Mathematics
1 answer:
kolbaska11 [484]2 years ago
8 0

Answer: Ф = 20

Step-by-step explanation:

sin2Ф = cos (Ф+ 30 )

if sinα = cosβ , then α and β are complementary ,that is they add up to be 90^{0}.

Therefore : 2Ф + Ф + 30 = 90

3Ф + 30 = 90

3Ф         = 90 - 30

3Ф        = 60

Ф          = 20

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Negative exponents in denominators can be evaluated using StartFraction 1 Over b Superscript negative and EndFraction nbsp equal
skelet666 [1.2K]

Answer:

b Superscript positive

Step-by-step explanation:

Negative exponents in the denominators can be evaluated by moving the function from the denominator to the numerator and changing the power from negative to the positive.

We have

1/b⁻² = b²

Moving the function with a power from denominator to numerator or from numerator to denominator changes the sign of the power. It is not equal to zero.

This is the property of exponents.

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2 years ago
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Step-by-step explanation:

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2 years ago
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2 years ago
Find the quotient. x + 7 x ÷ 9 x
kicyunya [14]
The first step for solving this expression is to write the division as a fraction.
x + \frac{7x}{9} × x
Calculate the product.
\frac{7x X x}{9}
Remember that if a term doesn't have an exponent,, it is considered that the exponent for that term is 1. This changes the expression to the following:
\frac{7 x^{1}X x^{1}  }{9}
Now multiply the terms with the same base by adding their exponents.
\frac{7 x^{1+1}}{9}
Finally,, add the numbers together to get your final answer.
x + \frac{7 x^{2}}{9}
Let me know if you have any further questions.
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8 0
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