Question

calcule M

R = 12tg5º.c tg5° +14 sec 70°.cos 70°​

Answer 1

Explicación paso a paso:

Tᴀʀᴇᴀ:

• Hᴀʟʟᴀʀ ᴇʟ ʀᴇsᴜʟᴛᴀᴅᴏ ᴅᴇʟ ᴘʀᴏʙʟᴇᴍᴀ.

Sᴏʟᴜᴄɪᴏ́ɴ:

• $12 \tan5 \times \cot5 + 14 \sec70 \times \cos70$
• $12 + 14 = 26$

Exᴘʟɪᴄᴀᴄɪᴏ́ɴ:

1. Eɴ ᴇsᴛᴇ ᴇᴊᴇʀᴄɪᴄɪᴏ sᴇ ᴜᴛɪʟɪᴢᴀ Rᴇᴄɪ́ᴘʀᴏᴄᴀs.

• $\sin(x) \times \csc(x) = 1$
• $\cos(x) \times \sec(x) = 1$
• $\tan( x ) \times \cot(x) = 1$
• Esᴛᴏ ǫᴜɪᴇʀᴇ ᴅᴇᴄɪʀ ǫᴜᴇ sɪ ᴛɪᴇɴᴇs ᴀ Sᴇɴᴏ ʏ ᴇsᴛᴀ́ ᴍᴜʟᴛɪᴘʟɪᴄᴀᴅᴏ ᴘᴏᴛ Cᴏsᴇᴄᴀɴᴛᴇ ᴇsᴛᴏ ᴇs 1.
• Eɴ ᴇsᴛᴇ ᴄᴀsᴏ ᴇs Tᴀɴɢᴇɴᴛᴇ ᴘᴏʀ Cᴏɴᴛᴀɴɢᴇɴᴛᴇ ᴇsᴏ ᴇs 1.

2. Cᴏ́ᴍᴏ Tᴀɴɢᴇɴᴛᴇ ᴘᴏʀ Cᴏɴᴛᴀɴɢᴇɴᴛᴇ ᴇs 1 ᴇsᴏ ǫᴜᴇᴅᴀʀɪ́ᴀ: 12 × 1 = 12.
3. Cᴏ́ᴍᴏ Cᴏsᴇᴄᴀɴᴛᴇ ᴘᴏʀ Sᴇᴄᴀɴᴛᴇ ᴇs 1 ᴇsᴏ ǫᴜᴇᴅᴀʀɪ̄ᴀ 14 × 1 = 14.
4. Y sᴜᴍᴀs 12 ʏ 14 ᴇsᴏ ᴇs 26.

Esᴘᴇʀᴏ ᴛᴇ sɪʀᴠᴀ. ^-^