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Oxford University MAT 2015 Solved Papers

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Question : 3

Total: 10

Which of the following are true for all real values of x ? All arguments are in radians.
‌ I ‌‌sin(‌

−x)
‌ II ‌‌2+2‌sin(x)−cos2(x)≥0
‌ III ‌‌sin(x+‌

)=cos(π−x)
‌ IV ‌‌sin(x)‌cos(x)≤‌

I and II, ‌‌
I and III, ‌‌
‌‌ II and III,
III and IV, ‌‌
‌‌ II and IV.

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