Question

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Answer 1

Step-by-step explanation:

sin x=a+b

cos x=a-b

sin²x+cos²x=(a+b)²+(a-b)²=2a²+2b²

or 2a²+2b²=1

a²+b²=1/2 which is constant for all values of x

(ii)

\begin{gathered}\frac{\sin x}{\cos x}=\frac{a+b}{a-b}\\\tan x=\frac{a+b}{a-b}=2\\a+b=2a-2b\\b+2b=2a-a\\or a=3b\end{gathered}

cosx

sinx

=

a−b

a+b

tanx=

a−b

a+b

=2

a+b=2a−2b

b+2b=2a−a

ora=3b

Answer 2

ur answer in the attachment ❤️