Question

Tentukan nilai identitas ini!

[tex]\displaystyle \rm \large \boxed{ \color{red}{\sf \huge \frac{\frac{2 \sin \: b}{ \cos \: b}}{ 2 \: { \sec}^{2}b } }}[/tex]

>> apabila b = 45

#sipp, soalnya logis :)​

Answer 1

Verified answer

Jawaban:

½

Penjelasan dengan langkah-langkah:

[tex] \frac{ \frac{2 \sin( \beta ) }{ \cos( \beta ) } }{2 \: sec {}^{2} \beta } = \frac{2 \tan( \beta ) }{2( \frac{1}{ \cos( \beta ) } {)}^{2} } \\ = \frac{2 \tan(45) }{2( \frac{1}{ \cos(45) } {)}^{2} } \\ = \frac{2 \times 1}{2( \frac{1}{ \frac{1}{2} \sqrt{2} } {)}^{2} } \\ = \frac{2}{2( \frac{1}{ \frac{1}{2} } )} \\ = \frac{2}{2(2)} \\ = \frac{2}{4} \\ = \frac{1}{2} [/tex]