MathematicsWhich of the following is the value of the trigonometric expression cot 25 ° −tan 65 ° +2   ?

Which of the following is the value of the trigonometric expression cot 25 ° tan 65 ° +2   ?


  1. A
    0
  2. B
    1
  3. C
    2
  4. D
    3 

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    Solution:

    The given trigonometric expression is,
    cot 25 ° tan 65 ° +2 cot (9065) ° tan 65 ° +2  
    Apply the following:
    cot( 90 ° θ)=tanθ  
    Therefore we have,
    cot 25 ° tan 65 ° +2 =tan 65 ° tan 65 ° +2 cot 25 ° tan 65 ° +2 =2  
    Therefore, the value of the expression cot 25 ° tan 65 ° +2 =2.  
    Hence, option (3) is correct.
     
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