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NDA Math Trigonometric Ratios of Angles and Equations

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Consider the following for the next 02 (two) items:
It is given that cos(θ−α )=a, cos(θ−β )=b.

[NDA I 2019]

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Question : 6 of 100

Marks: +1, -0

What is sin‌2 (α−β)+2ab cos (α+β) equal to?

a‌2 + b‌2
a‌2 - b‌2
b‌2 + a‌2
-(a‌2 + b‌2 )

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