Math, asked by Saniya, 11 months ago

(cot 30/sec 30) + (cosec 30/tan 45) - (2cos 0/sin 30) + cos^245. Pls its urgent

Answers

Answered by itsazima
2

Answer:

(cot 30/sec 30) + (cosec 30/tan 45) - (2cos 0/sin 30) + cos^245.

= (√3/ 2/√3) + (2/1) - (2*1/ 1/2) + (1/√2)2

= 3/2 + 2 - 4 + 1/2

= (3/2 + 1/2) - 2

= (4/2) - 2

= 2 - 2

=0

Answered by Anonymous
7

HEY MATE YOUR ANSWER IS HERE....

SOLUTION ( BY USING TRIGNOMATRIC VALUES)

VALUES TO BE USED :-

 \cot(30)  =  \sqrt{3 }  \\    \\ \sec(30)  =  \frac{2}{ \sqrt{3} }  \\  \\  \cosec(30)  = 2 \\  \\  \tan(45 )  = 1 \\  \\  \cos(0)  = 1 \\  \\  \sin(30)  =  \frac{1}{2}  \\  \\  \cos(45)  =  \frac{1}{ \sqrt{2} }

ANSWER

 \frac{ \cot(30) }{ \sec(30) }  \:  +  \  \frac{\cosec(30) }{ \tan(45) }  \:  \:  -  \:  \frac{2 \cos(0) }{ \sin(30) }   \:  +  { \cos }^{2} (45)

 (\frac{ \sqrt{3} }{ \frac{2}{ \sqrt{3} } }  ) \:  +  \:  (\frac{2}{1})  \:  - ( \frac{2}{ \frac{1}{2} } ) +  ({ \frac{1}{ \sqrt{2} } })^{2}

 \frac{3}{2}   \:  + 2 \:  - 4  \:  +  \frac{1}{2}

 \frac{3}{2}  +  \frac{1}{2}  - 4 \:  + 2

 \frac{4}{2}   \:  - 2

2 - 2

 = 0

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