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Trigonometry

11:32 PM, 03-Mar-2021

 
 

 

  1. If tan(p+q) tan(p-q) = 1, then the value of tan p is :
(1) (2) 1 (3) (4)
  1.  
  2. Ans: (2)    tan(p+q) tan(p-q) = 1
  • tan (p+q) = cot (p+q) = tan (900 – (p-q))
  • p+q = 900 - (p-q)
  • 2p = 900   
  • p = 450 = 1

 

  1. The maximum value of 24 sin + 7 cos is
(1) 7 (2) 17 (3) 24 (4) 25
  1.  
  2. Ans: (4) Maximum value of a sin + b cos is
  3.          Required maximum value is = 25 = = 25
  4.  
  5. If a, b are positive acute angles, a+b 900 and sin (2a - 200), then the value of sec (a+b) is
(1) (2) (3) 1 (4) 0

 

Ans: (1)    sin (2a - 200) = cos (2a - 200)

  • sin (2a - 200) = sin (900-(2b - 200)) = sin (700 - 2b)
  • 2a-200 = 700-2b
  • 2(a+b) = 900
  • a+b = 450

   sec (a+b) = sec 450 =

 

  1. If 5 tan = 4, then the value of () is
(1) (2) (3) (4)

 

Ans: (1)    5 tan = 4

  • tan =

By Dividing Nr & Dr by,

= = = = =


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