SSC CHSL 2023 PYQ — Question 59

SSC CHSL - 08 Aug 2023 - Shift 4 • Quantitative Aptitude • Q59

The value of sec54°cosec36°+tan70°cot20°−2tan45°{sec 54°\over cosec36 °}+{tan 70°\over cot20°}-2tan45°is equal to:

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 0.

sec54°cosec36°+tan70°cot20°−2tan45°{sec 54°\over cosec36 °}+{tan 70°\over cot20°}-2tan45°

⇒ cosec36°cosec36°+cot20°cot20°−2tan45°{cosec36°\over cosec36 °}+{cot20°\over cot20°}-2tan45°

⇒ 1 + 1 - 2 

⇒ 2 - 2 = 0