Answered

Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Join our Q&A platform to get precise answers from experts in diverse fields and enhance your understanding. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

PLZ HELP!!! The expression (cosx) / (1 - sinx) is equivalent to
a) (1+sinx) / cosx
b) (1-sinx) / cosx
c) cos(x)(1+sin(x))
d) cos(x)(1-sin(x))

Sagot :

Panoyin
The expression (cosx)/(1 - sinx) is similar to the answer D. cos(x)/(1 - sin(x)).

[tex]\frac{cosx}{1+sinx}[/tex] is equivalent expression to  [tex]\frac{1+sinx}{cosx}[/tex].

What is an expression?

An expression in math is a statement involving at least two different numbers (known or unknown) and at least one operation.

Operations may include addition, subtraction, multiplication, division, exponents, and roots. The most important thing that defines an expression is what it doesn't have. Math expressions do not contain an equals sign (or a less than, greater than, or similar relation).

Given expression

[tex]\frac{cosx}{1+sinx}[/tex]

Rationalize the expression with 1 + sinx

= [tex]\frac{cosx}{1-sinx} \times \frac{1+sinx}{1+sinx}[/tex]

= [tex]\frac{cosx(1+sinx)}{(1-sinx)(1+sinx)}[/tex]

= [tex]\frac{cosx(1+sinx)}{1^{2}-(sinx)^{2} }[/tex]

= [tex]\frac{cosx(1+sinx)}{cos^{2}x }[/tex]

Cancel out cosx

= [tex]\frac{1+sinx}{cosx}[/tex]

[tex]\frac{cosx}{1+sinx}[/tex] is equivalent expression to  [tex]\frac{1+sinx}{cosx}[/tex].

Find out more information about expression here

brainly.com/question/13947055

#SPJ2

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.