Ten !

rewrite with only sin x and cos x.

sin 2x - cos 2x

a- 2 sin2x - 2 sin x cos x + 1
b- 2 sin x
c- 2 sin2x + 2 sin x cos x - 1
d- 2 sin2x - 2 sin x cos x - 1

Option d- 2 sin2x - 2 sin x cos x - 1

Step-by-step explanation:

the trigonometry identities are useful in this case.

Let the identity be:

Sin 2x = 2 sinx cosx

Cos 2x = 2cos²x - 1

Substituting gives:

2 sinx cosx - (2cos²x - 1)

cosx (2sin x - cosx) + 1

solving gives:

2 sin2x - 2 sin x cos x - 1

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this