Kumpulan Soal Identitas Trigonometri (Part 1)
Haii.. sobat blogger kali ini bachtiarmath.com akan membagikan soal-soal identitas trigonometri beserta pembahasannya nihh. Soal yang akan bachtiarmath.com bagikan berjumlah 30 butir soal yang sudah lengkap dengan pembahasannya. Kemudian dari 30 soal tersebut dibagi menjadi tiga postingan:
- Kumpulan Soal Identitas Trigonometri (No. 1-10)
- Kumpulan Soal Identitas Trigonometri (No. 11-20)
- Kumpulan Soal Identitas Trigonometri (No. 21-30)
Soal 1 sampai 10 soal tersebut diambil dari buku trigonometri karangan Dr. Fathurin Zen, M.Si. pada halaman 28. Berikut ini soal dan pembahasannya:
Soal 1
Buktikan sec2x (1 - cos2x) = tan2x
Jawab:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgjv-KVIhdE1eUnylU58WEC6wz1aK__I-4KlfmpMOyHtLxEdWhUD8PuqyuleO7koG0HMYsU3MLx92qTNDlHS6LjyrmBePZAFVz6EBvXIe1yqYjcwl0_wb_g-cibYh_zObPRXrR317gdo9L7/s1600/CodeCogsEqn+%25281%2529.gif)
Soal 2
Buktikan cos x (sec x - cos x) = sin2x
Jawab:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiTRWz2HjKrnlfzqXl-A4RFs5K6MT9A8F6gaUzsl8qpY4YRS5UAkP0ocaFjl0KcsBUvwXjIGNJXYU0ZzBtcdEVASG3o4BLZmDit2HkMLN-4vZgZ76ebNAnnBZ_iWQzY_syOj-ueNayrPOSA/s1600/CodeCogsEqn+%25282%2529.gif)
Soal 3
Buktikan sec x - cos x = sin x. tan x
Jawab:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiFnPHIUELapTKZ95MtTlBPv-BDZVIoyuoySGfuq_Mq0ShQ6IOPdd-fuey8-u91baK3OK5kzXEyrubA69ZDpMHZUDsZlOWYPZCsjrLA_D4x2AvWDnOX-Kq98JWJ7tyhb7gXOMpBUJk6ZD1y/s1600/CodeCogsEqn+%25283%2529.gif)
Soal 4
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgG2nekidm-cbkRuqB7exijQ4x_zBViXdqyY9HC6VIUzvlBgllX3uX0I6HZ5ENLlhSkLa042rUzQ_HSpSHzV_jw8uJfi_K6nW8Ny4mOIHXQL9r07qaQ7USiHCNOrFuiurpQeiNh_mfJUIgH/s1600/CodeCogsEqn+-+2020-07-04T195353.435.gif)
Jawab:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgR4VRfSoy57k5MXA35bVflvIAdR9ANIWf3IH0vC_PkQ5ldsP6GMDszmAT6ngHL4x776PbGjAroccUJnO9RgoEKb3meI-k1uueUsarhWboRy1nNG67Mj66kNFdNYKHJT29LwZF7KRldTps7/s640/CodeCogsEqn+-+2020-07-04T200322.404.gif)
Soal 5
Buktikan cos b + sin b. tan b = sec b
Jawab:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhQAkmmQskNxhYVEpaVEoeuok65Y8MJBkfKXkSTOFerbmqpeiEfuFxyWFK3g0SnFMIxi67dm2Q3apRB_eZ51cr1MiZ_570Bacn0jDpUjH8ygR-2MxMbzLrM8Gw3MjZqUDG6Vm2L511lBvms/s1600/CodeCogsEqn+-+2020-07-04T211234.711.gif)
Soal 6
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgrbehVcUymu2UmDgKCWQrXxmEU0o8Auo9y-bPbi0kK93VuFcb01dzZ3t5kTO1ZsJNEOI5UNt8A3N6JjSkbCNcznaw4GbOndQQxdLatLXXGoF16z-vjlq-Wp_xmhK5P-QgNrSPVDF3e5D6R/s1600/CodeCogsEqn+%252811%2529.gif)
Jawab:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEinqTHGRi4h29F7dI2-5fCuNc-v_badL0qzEBKjvnp2Zk_8qdhkkLh1PvitAYHL6le2lJYeQeZMjfdlJxavw1mCBJ_Tz7nriHYNaLmyt9aAckn_xePwP-QiF6sjL1yZFAu6c4-dwoKCIlYg/s1600/CodeCogsEqn+%25285%2529.gif)
Soal 7
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjjJ42w3ms0wF2jNIXS6rBDWMzV6kYrcfVh4U2E_6PaX2THrTY8Q0xeBxzXLTbobW6VyL1gkDmiL22MGJZZpgIKIgWAMqvasPTICKzCDRUKK432x2OlsyImzveDzDVYDe07bBslh2vKeBqI/s1600/CodeCogsEqn+%252812%2529.gif)
Jawab:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi3tvpsPPCEpJ6Eqb89EurnQwLrqkAxx0_24Et4GNyGIrmrMLEHY8z4VIiXcNxXfp5vlXhBU3uoCFVY2QGywDkGwGZKeDfeA2cTyHbpPLjnAzpl22bvEteap34yq1ypOoqggf1y2OS-8rju/s640/CodeCogsEqn+%25286%2529.gif)
Soal 8
Buktikan sec2t + csc2t = sec2t. csc2t
Jawab:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiKv-xbxqtG7eNmN4NQtDQ-WA36TjqlEue6gYOIQ0470ajnQEsC9wUD7V7LjqPinnZ6KYIgiS4Yhn8pQ3yrtRpQ3Tf4Il2l0qBg5Iq7HKJ9pbE2AzLQxYak5onqz8b2zZi1b6Jzo7BPpbjD/s1600/CodeCogsEqn+-+2020-07-04T211336.065.gif)
Soal 9
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgidANgvGVaxdPIuYiwO3eH2cyR7cpV6RCNv3LTmbo1m2OK_oWiDRVf-eN4Jy_t8Bhi7Bqj2QqEVgc_o_tZifNPZIct2DKCb4wF9acw7ZWGzogKTndn-MFTgqY-tJgruUw8DPQuTGFyovTd/s1600/CodeCogsEqn+%252813%2529.gif)
Jawab:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgxx5HlETIWMVOEHGt5tMcKcvbRqShArVo8dMuArIBcPOXwtsN9d7EgYeZZlFh3NjVCmpNP3tvAtam9At7k3FK5jrVusrV6_f556JKeUZ-rgUFnTfMeMQBTX7RHR2zsX7qYFEpvQCkBIAZr/s640/CodeCogsEqn+%25288%2529.gif)
Soal 10
Buktikan sec
(csc
- cot
. cos
) = tan ![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjD6WDdiiebqWq2CXYvepxbFORTKj0r9tbGqAmXiM6qtpXSdo24dXypMoy8sdw10raZUqfgvvRH1Bbyantf2-qr5U80S3X_HSZFYPiyxjEEdPQqs4XV_9APNndnMbvQs8HvOXwUl42AfrjS/s1600/CodeCogsEqn+-+2020-07-04T201821.077.gif)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjD6WDdiiebqWq2CXYvepxbFORTKj0r9tbGqAmXiM6qtpXSdo24dXypMoy8sdw10raZUqfgvvRH1Bbyantf2-qr5U80S3X_HSZFYPiyxjEEdPQqs4XV_9APNndnMbvQs8HvOXwUl42AfrjS/s1600/CodeCogsEqn+-+2020-07-04T201821.077.gif)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjD6WDdiiebqWq2CXYvepxbFORTKj0r9tbGqAmXiM6qtpXSdo24dXypMoy8sdw10raZUqfgvvRH1Bbyantf2-qr5U80S3X_HSZFYPiyxjEEdPQqs4XV_9APNndnMbvQs8HvOXwUl42AfrjS/s1600/CodeCogsEqn+-+2020-07-04T201821.077.gif)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjD6WDdiiebqWq2CXYvepxbFORTKj0r9tbGqAmXiM6qtpXSdo24dXypMoy8sdw10raZUqfgvvRH1Bbyantf2-qr5U80S3X_HSZFYPiyxjEEdPQqs4XV_9APNndnMbvQs8HvOXwUl42AfrjS/s1600/CodeCogsEqn+-+2020-07-04T201821.077.gif)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjD6WDdiiebqWq2CXYvepxbFORTKj0r9tbGqAmXiM6qtpXSdo24dXypMoy8sdw10raZUqfgvvRH1Bbyantf2-qr5U80S3X_HSZFYPiyxjEEdPQqs4XV_9APNndnMbvQs8HvOXwUl42AfrjS/s1600/CodeCogsEqn+-+2020-07-04T201821.077.gif)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjD6WDdiiebqWq2CXYvepxbFORTKj0r9tbGqAmXiM6qtpXSdo24dXypMoy8sdw10raZUqfgvvRH1Bbyantf2-qr5U80S3X_HSZFYPiyxjEEdPQqs4XV_9APNndnMbvQs8HvOXwUl42AfrjS/s1600/CodeCogsEqn+-+2020-07-04T201821.077.gif)
Jawab:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEih37AW3gUQhv-BSuKT9S07t_5YCnhjzh0CO6ogTKRigdSmtYrl3gfnK_Q67ei6CHlvMWYg2BGHLXkAMTt8G4l8PnWLBTXf-6L0sZs7zpjEcLvoOUd-CdifCvopcUeP4WNdDYwIVMBd0sXN/s640/CodeCogsEqn+%25289%2529.gif)
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