Question

sin
+ sin2 0 = 1,
show that:
cos2 e + cos4 e = 1.​

Answer 1

Answer:

Let theta be alpha,

$given \: that \\ \sin \alpha + { \sin \alpha }^{2} = 1 \\ \sin\alpha = 1 - { \sin \alpha }^{2} \\\sin\alpha = { \cos \alpha }^{2} \\ we \: know \: that \\ \sin \alpha + { \sin \alpha }^{2} = 1 \\ { \cos \alpha }^{2} + ( { \cos \alpha }^{2} ) ^{2} = 1 \\ { \cos \alpha }^{2} + { \cos \alpha }^{4} = 1$

Hence, proved.

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