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Grade: 10

                        

If sinx = cos2x, then cos2x(1 + cos2x) is equal to (A) 0 (B) 1 (C) 2 (D) none of these

4 years ago

Answers : (2)

Karthikk Kumaresan
46 Points
							
Anoushka Arora,
Answer is (B) 1
Explanation
 
Squaring on both sides, we get
sin2x= cos4x
1-cos2x=cos4x
So cos2x+cos4x = 1
cos2x(1+cos2x) = 1
 
Hence Proved.
 
Warm Regards,
Karthikk Kumaresan
4 years ago
Dhwani
13 Points
							
RHS
= 1
=cos^2x+ sin^2x
=sinx+sin^2x.           (Given that cos^2x=sinx)
 
=sinx(1+sinx)
=cos^2x(1+cos^2x) =LHS
 
Hence proved.
one year ago
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