ECAT Engineering Entry Test 2021 Mathematics Trigonometric Identities 1 MCQS Online Preparation Sample Paper Questions with Answer

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Mathematics Trigonometric Identities 1 MCQS Online Preparation Sample Paper Questions with Answer

Assessment of understanding of trigonometric identities and their applications is done through Mathematics Trigonometric Identities 1 MCQs. These questions are commonly found in exams such as the ECAT (Engineering College Admission Test) and cover topics like fundamental identities, Pythagorean identities, and sum and difference identities. Nokryan.com, an online platform, offers comprehensive preparation resources, including sample papers, practice questions, and detailed answers to aid students in mastering Trigonometric Identities. These materials ensure that students are ready to confidently tackle related problems in the mathematics section of the ECAT exam.

Trigonometric identities by Nokryan.com

1. tan(α – 90°)=

  • -cot α
    correct
  • – tan α
  • cot α
  • tan α

2. cos(π/2 – α)=

  • cos α
  • -cos α
  • sin α
    correct
  • -sin α

3. sin(π/2 – α)=

  • -sin α
  • csc α
  • -cos α
  • cos α
    correct

4. cot(90° – α) =

  • -tan α
  • -cot α
  • -sin α
  • tan α
    correct

5. sec (-α) =

  • -sec α
  • csc α
  • sec α
  • -cos α
    correct

6. tan (-α) =

  • -tan α
    correct
  • -cot α
  • cot α
  • tan α

7. sin (α – β) =

  • sin α cos β – cos α sin βcorrect
  • cos α cos β + sin α sin β
  • sin α cos β + cos α sin β
  • cos α cos β – sin α sin β

8. cot (-α) =

  • -cot α
    correct
  • cot α
  • tan α
  • -tan α

9. cos(α – 90°) =

  • -csc α
  • sin α
    correct
  • -sec α
  • csc α

10. sec(90° – α) =

  • -sec α
  • csc α
    correct
  • -csc α
  • sec α

11. sin(3π/2 – θ)=

  • sin θ
  • -sin θ
  • cos θ
  • -cos θ
    correct

12. sin (α + β) =

  • cos α cos β + sin α sin β
  • cos α cos β – sin α sin β
  • sin α cos β + cos α sin βcorrect
  • sin α cos β – cos α sin β

13. sin(90° – α) =

  • -sin α
  • cos α
  • sin α
  • -cos α
    correct

14. cot (α – 90°)=

  • cot α
  • -tan α
    correct
  • tan α
  • -cot α

15. csc(-α)=

  • -csc αcorrect
  • -cos α
  • -sec α
  • csc α

16. sin (-α)=

  • Sec α

  • -cos α
  • sin α
  • -sin α
    correct

17. cos(- α) =

  • -sin α
  • sin α
  • cos α
    correct
  • -cos α

18. cos (90° – α)=

  • -sin α
  • cos α
  • -cos α
  • sin α
    correct

19. cos (α + β) =

  • sin α cos β + cos α sin β
  • cos α cos β + sin α sin β
  • sin α cos β – cos α sin β
  • cos α cos β – sin α sin β
    correct

20. cos (α – β) =

  • cos α cos β – sin α sin β
  • cos α cos β + sin α sin βcorrect
  • sin α cos β – cos α sin β
  • sin α cos β + cos α sin β

21. csc (90° – α) =

  • csc α
  • sec α
    correct
  • -sec α
  • -csc α

22. csc (α – 90°) =

  • csc α
  • -sec α
    correct
  • -cot α
  • cot α

23. tan (90° – α) =

  • -tan α
  • -cot α
  • cot α
    correct
  • tan α

24. sin(α – 90°)=

  • sin α
  • csc α
  • -sec α
  • -cos α
    correct

25. sec(α – 90°)=

  • csc α
    correct
  • cot α
  • -sec α
  • -cot α

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