Answered

Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Join our platform to connect with experts ready to provide precise answers to your questions in different areas. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Solve for [tex]\( x \)[/tex].

[tex]\[ 3x = 6x - 2 \][/tex]



Format the following question or task so that it is easier to read.
Fix any grammar or spelling errors.
Remove phrases that are not part of the question.
Do not remove or change LaTeX formatting.
Do not change or remove [tex] [/tex] tags.
If the question is nonsense, rewrite it so that it makes sense.
-----
[tex]\[ \sin^2 \theta + \cos^2 \theta = x - 25 \][/tex]

Sagot :

GinnyAnswer
Absolutely, let's dive into solving the equation step-by-step:

Given the equation:
[tex]\[ \sin^2 \theta + \cos^2 \theta = x - 25 \][/tex]

1. Understand and apply the trigonometric identity:
Recall one of the fundamental trigonometric identities:
[tex]\[ \sin^2 \theta + \cos^2 \theta = 1 \][/tex]

2. Substitute the identity into the equation:
Replace [tex]\(\sin^2 \theta + \cos^2 \theta\)[/tex] with 1 in the given equation:
[tex]\[ 1 = x - 25 \][/tex]

3. Solve for [tex]\(x\)[/tex]:
Next, we need to isolate [tex]\(x\)[/tex]. To do this, add 25 to both sides of the equation:
[tex]\[ 1 + 25 = x \][/tex]

4. Simplify the expression:
Combine the constants on the left side:
[tex]\[ 26 = x \][/tex]

Hence, the value of [tex]\(x\)[/tex] is:
[tex]\[ x = 26 \][/tex]

So, the simplified form of the given equation leads us to:
[tex]\[ 26 - x \][/tex]
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.