Anonim A

10 Desember 2023 23:46

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Anonim A

10 Desember 2023 23:46

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S. Amamah

Mahasiswa/Alumni Universitas Negeri Malang

11 Desember 2023 03:18

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<p>Jawaban: &nbsp;1/4√2</p><p>&nbsp;</p><p>ingat!</p><p>Tan x = sisi depan sudut x / sisi samping sudut x</p><p>cos x = sisi samping sudut x / sisi miring sudut x</p><p>&nbsp;</p><p>tan 60 = √3</p><p>KL/KN = √3</p><p>KL/3 = √3</p><p>KL = 3√3</p><p>&nbsp;</p><p>cos 60 = 1/2</p><p>KN/NL = 1/2</p><p>3/NL = 1/2</p><p>NL = 3 x 2</p><p>NL = 6</p><p>&nbsp;</p><p>ML = √(NL<sup>2</sup> - NM<sup>2</sup>)</p><p>= √(6<sup>2</sup> - 2<sup>2</sup>)</p><p>= √36 - 4)</p><p>= √32&nbsp;</p><p>= 4√2</p><p>&nbsp;</p><p>Tan 𝞱 = NM/ML</p><p>= 2/4√2&nbsp;</p><p>= 1/2√2 x √2/√2</p><p>= 1/4 √2</p><p>&nbsp;</p><p>Jadi, nilai dari tan 𝞱 adalah 1/4√2</p>

Jawaban:  1/4√2

 

ingat!

Tan x = sisi depan sudut x / sisi samping sudut x

cos x = sisi samping sudut x / sisi miring sudut x

 

tan 60 = √3

KL/KN = √3

KL/3 = √3

KL = 3√3

 

cos 60 = 1/2

KN/NL = 1/2

3/NL = 1/2

NL = 3 x 2

NL = 6

 

ML = √(NL2 - NM2)

= √(62 - 22)

= √36 - 4)

= √32 

= 4√2

 

Tan 𝞱 = NM/ML

= 2/4√2 

= 1/2√2 x √2/√2

= 1/4 √2

 

Jadi, nilai dari tan 𝞱 adalah 1/4√2


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Sumara S

11 Desember 2023 00:26

<p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;1</p><p>nilai tan 𝞱 = ---- √2 &nbsp;</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 4</p><p>&nbsp;</p><p>lesaian:</p><p>cari panjang LN pada segitiga KLN</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;KN</p><p>cos 60<sup>o</sup> = &nbsp;-------</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;LN</p><p>&nbsp; 1 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 3</p><p>&nbsp;--- = &nbsp;-------</p><p>&nbsp; &nbsp;2 &nbsp; &nbsp; &nbsp; &nbsp; LN</p><p>LN = 6</p><p>cari panjang ML pada segitiga NML</p><p>pakai aturan tripel phytagoras</p><p>ML<sup>2</sup> = NL<sup>2</sup> - NM<sup>2</sup></p><p>ML = √(NL<sup>2</sup> - NM<sup>2</sup>)</p><p>&nbsp; &nbsp; &nbsp; &nbsp;= √(6<sup>2</sup> - 2<sup>2</sup>)</p><p>&nbsp; &nbsp; &nbsp; &nbsp;= √(36 - 4)</p><p>&nbsp; &nbsp; &nbsp; &nbsp;= √(32)</p><p>ML = 4√2</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;NM</p><p>tan 𝞱 = ------</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; ML</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 2</p><p>tan 𝞱 = ------</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 4√2</p><p>rasionalkan</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 2 &nbsp; &nbsp; &nbsp; x √2 &nbsp;</p><p>tan 𝞱 = ------</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 4√2 &nbsp; x √2 &nbsp;</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 2√2 &nbsp;</p><p>tan 𝞱 = ------</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 4 . 2</p><p>sederhanakan</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; √2 &nbsp;</p><p>tan 𝞱 = ------</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 4</p><p>Jadi, &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 1</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;tan 𝞱 = ---- √2 &nbsp;</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;4</p><p>&nbsp;</p><p>semoga membantu.</p>

                           1

nilai tan 𝞱 = ---- √2  

                            4

 

lesaian:

cari panjang LN pada segitiga KLN

                       KN

cos 60o =  -------

                       LN

  1           3

 --- =  -------

   2         LN

LN = 6

cari panjang ML pada segitiga NML

pakai aturan tripel phytagoras

ML2 = NL2 - NM2

ML = √(NL2 - NM2)

       = √(62 - 22)

       = √(36 - 4)

       = √(32)

ML = 4√2

                 NM

tan 𝞱 = ------

                  ML

                  2

tan 𝞱 = ------

                  4√2

rasionalkan

                  2       x √2  

tan 𝞱 = ------

                  4√2   x √2  

                  2√2  

tan 𝞱 = ------

                  4 . 2

sederhanakan

                  √2  

tan 𝞱 = ------

                  4

Jadi,                     1

             tan 𝞱 = ---- √2  

                               4

 

semoga membantu.


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