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Solve the following equation: 4(sinx)^2+8cosx-7=0 in the interval 0=<x=<360 degrees.

We first use the identity sin²x+cos²x=1 to substitute for sin^2 in terms of cos.

sin^2(x)=1-cos^2(x) -------------> -4cos^2(x)+8cosx-3=0

Answered by Natalia W. • Maths tutor

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In organic chemistry, how can functional groups be easily identified and how can I memorise organic mechanisms?

For both As and A-level, knowing functional groups for organic chemistry is essential. The easiest way to identify functional groups is to understand which bonds are characteristic for the functional grou...

Answered by Niamh S. • Chemistry tutor

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Translate the phrase: "Yesterday I sat on the bench in the park and read my new book" and list all the nouns with their articles you can find in the phrase.

Answer: "Gestern sass ich auf der Bank im Park und las mein neues Buch"

Nouns: die Bank, der Park, das Buch

Answered by Laura S. • German tutor

2038 Views

How can I improve my fluency and spontaneity?

One of the main methods I personally use to improve my oral fluency is reading books aloud in the language I am studying. This is effective in two ways: Firstly, by reading aloud you get used to speaking ...

Answered by Christopher R. • Spanish tutor

3584 Views

How do you show that (x+2) is a factor of f(x) = x^3 - 19x - 30, and then factorise f(x) completely?

A1) Showing that (x+2) is a factor of f(x). General Method: If A is a number, then (x- A) is a factor of f(x) if when x=A, f(x=A)=0 <-- This is what we want to show ...

Answered by Rebecca W. • Maths tutor

9559 Views