Question

Plz solve question no. 4...

Answer 1

we know that sin squared theta + cos squared theta is equal to 1
therefore
cos theta is equal to sin squared theta
sin 4 raise to theta equal to cos squared theta

sin square theta + sin raised to 4 theta equal to
sin squared theta + cos squared theta equal to 1

Answer 2

Given,

=> cos∅ + cos²∅ = 1

Using identity,

=> cos∅ = √( 1 - sin²∅ )

=> √( 1 - sin²∅ ) + cos²∅ = 1

Using identity,

=> cos²∅ = ( 1 - sin²∅ )

=> √( 1 - sin²∅) + 1 - sin²∅ = 1

=> √( 1 - sin²∅ ) = 1 - 1 + sin²∅

=> √( 1 - sin²∅ ) = sin²∅

=> ( 1 - sin²∅ ) = ( sin²∅ )²

=> 1 - sin²∅ = sin⁴∅

=> 1 = sin²∅ + sin⁴∅

=> - sin²∅ - sin⁴∅ = -1

=> - ( sin²∅ + sin⁴∅ ) = -1

=> ( sin²∅ + sin⁴∅ ) = ( -1 ) / ( - 1 )

•°• sin²∅ + sin⁴∅ = 1

b) 1

Hope it helps !!