Question

if sin 4 theta=cos(theta-20) then value thetha​

Answer 1

Step-by-step explanation:

see the picture.

Hope it will help you

Answer 2

❏ Used ForMuLaS:-

➾ X+Y=90°, then

$\sf\longrightarrow \sin X=\cos(90\degree-X)$

$\sf\longrightarrow \sec X=\cosec(90\degree-X)$

$\sf\longrightarrow \tan X=\cot(90\degree-X)$

❏ question:-

find the value of $\bf\theta$ if,

$\sf\bf\implies\sin4\theta=\cos(\theta-20\degree)$

❏ Solution:-

Hence,

$\sf\longrightarrow\bf\sin4\theta=\cos(\theta-20\degree)$

$\sf\longrightarrow\bf\cos(90\degree-4\theta)=\cos(\theta-20\degree)$

$\sf\longrightarrow\bf 90\degree-4\theta=\theta-20\degree$

$\sf\longrightarrow\bf 90\degree+20\degree=\theta-4\theta$

$\sf\longrightarrow\bf 110\degree=5\theta$

$\sf\longrightarrow\bf \theta=\frac{\cancel{110}\degree}{\cancel5}$

$\sf\longrightarrow\bf \boxed{\large{\red{\theta=22\degree}}}$

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$\underline{ \huge\mathfrak{hope \: this \: helps \: you}}$

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