Unsolved Problems on Trigonometry Functions

UNSOLVED PROBLEMS ON TRIGONOMETRY FUNCTIONS:

1. Find value of Cos²a+(1/1+cot²a)
   
   
   
   1. 0
   
   
   2. 1
   
   
   3. 2
   
   
   4. 3
   
   
   
   


2. Find value of 2sin²a+4sec²a+5cot²a+2cos²a-4tan²a-5cosec²a
   
   
   
   1. 0
   
   
   2. 1
   
   
   3. 2
   
   
   4. 3
   
   
   
   


3. Find the value of (cosA-sinA)²+(cosA+sinA)²
   
   
   
   1. 0
   
   
   2. 1
   
   
   3. 2
   
   
   4. 3
   
   
   
   


4. Find the value of Cot²A x (sec²A-1)
   
   
   
   1. 0
   
   
   2. 1
   
   
   3. 2
   
   
   4. 3
   
   
   
   


5. Find the value of (secA x cotA)² – (cosec A x cosA)²
   
   
   
   1. 0
   
   
   2. 1
   
   
   3. 2
   
   
   4. 3
   
   
   
   


6. secA/(cotA+tanA) will be equal to
   
   
   
   1. cosA
   
   
   2. cosecA
   
   
   3. sinA
   
   
   4. tanA
   
   
   
   


7. (1+tanA+secA)(1+cotA-cosecA) will be equal to
   
   
   
   1. 0
   
   
   2. 1
   
   
   3. 2
   
   
   4. 3
   
   
   
   


8. Cos⁶A+sin⁶A=
   
   
   
   1. 1-3(cosA x sinA)²
   
   
   2. 1+3(cosA x sinA)²
   
   
   3. 1-3(cosA x sinA)³
   
   
   4. 1-3(cosA x sinA)⁶
   
   
   
   


9. (sin²A x cos²B) – (cos²A x sin²B) will be equal to
   
   
   
   1. Sin²A-cos²A
   
   
   2. Sin²A+cos²A
   
   
   3. Cos²A – cos²A
   
   
   4. Sin²A-Sin²B
   
   
   
   


10. (tanA+cotA)(secA-cosA)(cosecA-sinA)=
    
    
    
    1. 0
    
    
    2. 1
    
    
    3. 2
    
    
    4. 3
    
    
    
    

11. If Tan²A+Tan⁴A=1 then what is the value of cos²A+cos⁴A, given that A is an acute angle?
    
    
    
    1. 0
    
    
    2. 1
    
    
    3. 2
    
    
    4. 3
    
    
    
    


12. (cosecA-cotA)²=
    
    
    
    1. (1-cosA)/(2+cosA)
    
    
    2. (1+cosA)/(1-cosA)
    
    
    3. (1-cosA)/(1+cosA)
    
    
    4. (1-cosA)x(1+cosA)
    
    
    
    


13. [(tanA+secA)²-1]/[(tanA+secA)²+1], will be equal to
    
    
    
    1. tanA
    
    
    2. secA
    
    
    3. sinA
    
    
    4. cosA
    
    
    
    


14. [(sin²20+sin²70)/(sec²50-cos²40)]+2cosec²58-2(cot58xtan32)-(4tan13 x tan37 x tan45 x tan53 x tan77)
    
    
    
    1. 0
    
    
    2. -1
    
    
    3. 1
    
    
    4. None of above
    
    
    
    


15. If cotA=root 7, what is the value of (cosec²A-sec²A)/( cosec²A+sec²A)
    
    
    
    1. 3/2
    
    
    2. 3/4
    
    
    3. 4/3
    
    
    4. 2/3
    
    
    
    


16. (sinA+cosecA)²+(cosA+secA)² will be equal to
    
    
    
    1. Tan²A+cot²A+4
    
    
    2. Tan²A-cot²A+5
    
    
    3. Tan²A-cot²A
    
    
    4. Tan²A+cot²A+7
    
    
    
    

ANSWERS:
1)b, 2)b, 3)c, 4)b, 5)b, 6)c , 7)c, 8)a, 9)d, 10)b, 11)b, 12)c,13)d, 14)b, 15)b, 16)d

LINKS

|| Basics Of Trigonometry||

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