Question 2 quant reasoning DAT DESTROYER

[mjzgrk]

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Can someone please explain to me te rules of sin, cos, tan, Csc, sec etc?
I don't understand why the final equation before solving is 2sin(22)Cos(22)x (1/cos(22)).... Where did the cos22 with the 2sin22 come from?
The question is: sin(44) x sec(22) is equivalent to?
Thanks

 

[Illfavor]

sin(44)=sin(2*22)=2sin(22)cos(22)

sec=1/cos(22)