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UPSC NDA I 2019 Mathematics Solved Paper

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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 : 51

Total: 120

What is cos(α - β) equal to ?

ab+√1−a2√1−b2
ab-√1−a2√1−b2
a√1−b2−b√1−a2
a√1−b2+b√1−a2

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