UPSC 2013 CDS 2 Math Paper

tan‌θ=

sin‌θ

cos‌θ

and −1≤sin‌θ,cos‌θ≤1
ow, siθ increases as θ increases whereas cos θ decreases as θ increases. Therefore, numerator increases and denominatordecreases. Hence, tan θ increases faster than sin θ.
Hence, statement 1 is correct.
When Thus, the value of sin‌θ+cos‌θ is not always greater than 1.
Hence, statement 2 is incorrect