Question

if sin 0 +sin²0 =1 then prove that cos²0+cos⁴0=1​

Answer 1

$\huge\bigstar\sf\red{Answer:}$

$\sf{sin\theta+sin^{2}\theta=1}$

$\sf{we \ know, \ sin^{2}\theta+cos^{2}\theta=1}$

$\sf{Hence, \ we \ get \ sin=cos^{2}}$

$\sf{\therefore{In, \ cos^{2}\theta+cos^{4}\theta}}$

$\sf{cos^{2}\theta=sin\theta \ and \ cos^{4}\theta=sin^{2}\theta}$

$\sf{But, \ it's \ given}$

$\sf{sin\theta+sin^{2}\theta=1}$

$\sf{Hence,}$

$\sf{cos^{2}\theta+cos^{4}\theta=1}$