Question

value of sin 75
A)√6+1/4
B) √6-2/4
C) √6+2/4
D) √6​

Answer 1

Answer:

your answer is option c

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Answer 2

♧Answer♧

ꜱɪɴ(ᴀ+ʙ) = ꜱɪɴ ᴀ ᴄᴏꜱ ʙ + ᴄᴏꜱ ᴀ ꜱɪɴ ʙ.

ꜱɪɴ 75 = ꜱɪɴ ( 45 + 30) = ꜱɪɴ 45 ᴄᴏꜱ 30 + ᴄᴏꜱ 45 ꜱɪɴ 30. ꜱɪɴ 75 = (1 / √2) ( √3 / 2) + (1 / √2) ( 1 / 2)

= [ √3 + 1] / 2√2.

ʀᴀᴛɪᴏɴᴀʟɪᴢᴇ ᴛʜᴇ ᴅᴇɴᴏᴍɪɴᴀᴛᴏʀ,

= (√3+1/ 2√2) . (2√2 / 2√2)

= (2√2.√3 + 2√2) / 4x2

= (2√6 + 2√2) / 8

ᴛᴀᴋᴇ 2 ᴀꜱ ᴄᴏᴍᴍᴏɴ,

= 2 (√6 + √2) / 8

ᴛʜᴇʀᴇꜰᴏʀᴇ ᴛʜᴇ ʀᴇꜱᴜʟᴛᴀɴᴛ ᴀɴꜱᴡᴇʀ ɪꜱ

=√6 + √2 / 4