Math, asked by yashraj2735, 1 year ago

Root under 2sin square 38 degree plus 3 plus 2 sun square 52 degree by 3cosec square 17 degree minus 2 minus 3Tan square 73 degree

Answers

Answered by ishanmandalktpp
2

Answer:

Step-by-step explanation:

Attachments:
Answered by amitnrw
3

Answer:

√5

Step-by-step explanation:

 \sqrt{ \frac{2 { \sin }^{2}(38) + 3 + 2 { \sin}^{2} (52) }{3 { \csc}^{2}(17)  - 2 - 3 { \tan}^{2}(73)  } }

sinx =cos(90-x)

sin 52 = cos38

cosecx = sec( 90-x)

cosec 17 = sec73

 \sqrt{ \frac{2 { \sin }^{2}(38) + 3 + 2 { \cos}^{2} (38) }{3 { \sec}^{2}(73)  - 2  -  3 { \tan}^{2}(73)  } }

 { \sin }^{2} (x) +  { \cos }^{2} (x) \:  = 1

 { \sec }^{2} (x)  -   { \cos }^{2} (x) \:  = 1

 =  \sqrt{ \frac{2 + 3}{3 - 2} }  \\   = \sqrt{ \frac{5}{1} }  \\  =  \sqrt{5}

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