Question

mathematics
trigonometry ​

Answer 1

Heyyo

Refer to the attachment provided

Answer 2

ANSWER

$cos \: a \: + {cos}^{2} a = 1$

$cos \: a \: = 1 - cos ^{2} a$

$cos \: a \: = sin ^{2} a$

Squaring both sides

$cos ^{2} a = {sin}^{4} a$

Now, in question

$sin ^{2} a + {sin}^{4} a$

Putting value of sin⁴a from above we get,

${sin}^{2} a + cos ^{2} a$

which is equal to 1

Hence proved.

HOPE IT HELPS YOU