express 2sin61°*sin39° as sum or difference form
Answers
Answered by
0
Answer:
Consider the equation,
Case 1- 2sin4θcos2θ
sinA+sinB=2sin(
2
A+B
)cos(
2
A−B
)
=2sin(
2
6θ+2θ
)cos(
2
6θ−2θ
)
=2sin4θcos2θ
Case 2- 2sin2θcos4θ
sinA+sinB=2sin(
2
A+B
)cos(
2
A−B
)
=2cos(
2
6θ+2θ
)sin(
2
6θ−2θ
)
Case 3- 2sin2θsin4θ
cosA−cosB=−2sin(
2
A+B
)sin(
2
A−B
)
=−2sin(
2
6θ+4θ
)sin(
2
6θ−2θ
)
=2sin2θsin4θ
Case 4-2cos2θcos4θ
cosA−cosB=2cos(
2
A+B
)cos(
2
A−B
)
=2cos(
2
6θ+4θ
)cos(
2
6θ−4θ
)
=2cos2θcos4θ
Hence, Proved.
Similar questions
Social Sciences,
1 month ago
Math,
2 months ago
Computer Science,
2 months ago
English,
9 months ago
Math,
9 months ago
English,
9 months ago