1. Tardigrade
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  3. Mathematics
  4. Let z1= sec (5 π/3)+i operatornamecosec (3 π/4) and z2= tan (4 π/3)+i cot (5 π/4) are two complex numbers Statement-1: z1 >z2 Statement-2: sec (5 π/3) > tan (4 π/3) and operatornamecosec (3 π/4) > cot (5 π/4)

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Q. Let $z_1=\sec \frac{5 \pi}{3}+i \operatorname{cosec} \frac{3 \pi}{4}$ and $z_2=\tan \frac{4 \pi}{3}+i \cot \frac{5 \pi}{4}$ are two complex numbers
Statement-1: $ z_1 >z_2$
Statement-2: $\sec \frac{5 \pi}{3} >\tan \frac{4 \pi}{3}$ and $\operatorname{cosec} \frac{3 \pi}{4} >\cot \frac{5 \pi}{4}$

Complex Numbers and Quadratic Equations

Solution:

Correct answer is (d) Statement- 1 is false, statement- 2 is true.