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jolli1 [7]
3 years ago
6

Simplify the expression sin^2 x-1/ cos(-x)

Mathematics
1 answer:
laila [671]3 years ago
5 0
\hbox{using trigonometric identities:} \\ \sin^2x +\cos^2x=1 \\ \sin^2x=1-\cos^2x \\ and \\ \cos (-x)=\cos x \\ \\ \frac{\sin^2x-1}{\cos (-x)}=\frac{1-\cos^2 x-1}{\cos x}=\frac{-\cos^2x}{\cos x}=\boxed{- \cos x} \\
(x \not= \frac{\pi}{2}+n\pi, n \in \mathbb{Z})
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Answer:

5

Step-by-step explanation:

The midpoint of segment AB is (1, 1).

Substituting these coordinates into the equation of the line,

2(1)+3(1)-k=0 \\ \\ 5-k=0 \\ \\ k=5

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Please Help
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The general formula for the equation of the straight line is:
y−b=m(x−a) where
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4 0
3 years ago
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Solve for x.<br> 2(3x - 7) = 16<br> Simplify your answer as much as possible.<br> X =
Murljashka [212]

Answer:

x = 5

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

2(3x - 7) = 16

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. [Division Property of Equality] Divide 2 on both sides:                                  3x - 7 = 8
  2. [Addition Property of Equality] Add 7 on both sides:                                     3x = 15
  3. [Division Property of Equality] Divide 3 on both sides:                                  x = 5
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3 years ago
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The difference between twice a number and 2
Pie

Answer:

2 is a number and "twice a number" means multiply by 2.

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3 years ago
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