MathematicsIf α+β = 90 ° ,   then which of the following is the value of the expression cosαcosecβ−cosαsinβ  ?

If α+β = 90 ° ,   then which of the following is the value of the expression


cosαcosecβcosαsinβ  ?


  1. A
    sinα  
  2. B
    sinβ  
  3. C
    cosα  
  4. D
    cosβ   

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    Solution:

    Given that,
    α+β= 90 °   β= 90 ° α      1  
    The given expression is,
    Therefore, the value of the expression cosαcosecβcosαsinβ =sinα.   Hence, option (1) is correct.
     
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