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Saturday, 31 October

JEE Main 2020 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 3 September 2020, Shift 1, Maths Q69

Question 69 of 75 in this shift, Maths question 19 of 25.

2π−(sin⁡−145+sin⁡−1513+sin⁡−11665)2\pi-\left(\sin^{-1}\frac{4}{5}+\sin^{-1}\frac{5}{13}+\sin^{-1}\frac{16}{65}\right) is equal to :
  1. (1)5π4\frac{5\pi}{4}
  2. (2)3π2\frac{3\pi}{2}Official answer
  3. (3)7π4\frac{7\pi}{4}
  4. (4)π2\frac{\pi}{2}

Official answer

Option 2

NTA final key (Sep 2020).

Chapter
Inverse Trigonometric Functions
Topic
Inverse Trig Identities
Idea tested
Sine Inverse Sum and Difference

Same idea in other shifts

Asked 3× in all
  1. 13 Apr 2023, Shift 1 · Q30If…HardNumerical value
  2. 16 Mar 2021, Shift 2 · Q78Given that the inverse trigonometric functions take principal values only. Then, the number of real values of xx which satisfy…MediumSingle correct

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.