Question

Tan^4 theta + tan^2 theta = 1 show that cos ^4 theta + cos ^2 theta = 1

Answer 1

${ \red{ \underline{ \underline{ \huge{ \mathfrak{answer}}}}}}$

${ \tan }^{4} \theta + { \tan }^{2} \theta \: = 1$

$( { \tan }^{2} \theta \: + 1) { \tan}^{2} \theta \: = 1$

${ \sec}^{2} \theta \: { \tan }^{2} \theta \: = 1$

$( \frac{1}{ { \cos}^{2} \theta} ) { \tan }^{2} \theta = 1$

$\frac{ { \sin }^{2} \theta}{ { \cos}^{2} \theta } = { \cos }^{2} \theta$

$1 - { \cos}^{2} \theta = { \cos }^{4} \theta$

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

${ \green{ \underline{ \huge{ \mathcal{be \: brainly}}}}}$