I have an example: \(\displaystyle{\frac{{{49}}}{{{64}}}}{{\cos}^{{2}}\theta}+{{\cos}^{{2}}\theta}={1}\) Then what happens next:

wibawanyacl3q

wibawanyacl3q

Answered question

2022-03-30

I have an example:
4964cos2θ+cos2θ=1
Then what happens next:
11364cos2θ=1
Where has the other cosine disappeared to?

Answer & Explanation

Leonardo Mcpherson

Leonardo Mcpherson

Beginner2022-03-31Added 13 answers

This is a simple use of the distributive law:
ac+bc=(a+b)c
In this situation,
(4964)cos2(θ)+(1)cos2(θ)=(4964+1)cos2(θ)
=(11364)cos2(θ)
Kamora Campbell

Kamora Campbell

Beginner2022-04-01Added 13 answers

By distributive law,
4964cos2θ+cos2θ=(4964+1)cos2θ
=(4964+6464)cos2θ
=(49+6464)cos2θ
and the numerator
49+64=113

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