Question

evaluat cos45°/(sec30°+cosec30°)​

Answer 1

Step-by-step explanation:

Consider given the number expression,

Given:

cos45°/(sec30°+cosec30°)​

cos45° = 1/√2

sec30° =  2/√3

cosec30° = 2

Let us apply those values,

   1/√2

-----------

  2/√3 + 2

    1/√2

 -------------

  2+2√3/3

    √3

--------------

√2(2+2√3)

      √3

  --------------

  2√2+2√6

Let us take conjuagtion,

    √3                     2√2+2√6

 ---------    ×           ----------------

  2√2+2√6           2√2+2√6

After the simplification

2√3(√6-√2)

-----------------

(2√6)²-(2√2)²

2√3(√6-√2)

-----------------

   24 -8

2√3(√6-√2)

-----------------

     16

√18 -√6

-------------

     8

3√2-√6

-------------

     8

Hope it will help

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