Math, asked by as3801504, 6 hours ago

The value of
 \sec(70)  -  \tan(20) \:  \:  is
please give correct answer ​

Answers

Answered by avisaini1313
0

Step-by-step explanation:

 =  \frac{1}{cos(70)}  -  \frac{ \sin(20) }{ \cos(20) }  \\ we \: know \: cos(90 -  \alpha ) =  \sin( \alpha )  \\ therefore \:  \cos(70 )  =  \cos(90 - 20)  =  \sin(20)

 =  \frac{ \cos(20)  -  { \sin }^{2} 20}{ \sin(20) \cos(20) }  =   \frac{ \cos(20 )  - 1 +  { \cos }^{2}20 }{ \sin(20) \cos(20)  }

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