IDNLearn.com connects you with experts who provide accurate and reliable answers. Find in-depth and accurate answers to all your questions from our knowledgeable and dedicated community members.
Sagot :
2 cot²(t ) sin(t ) - cot²(t ) = 0
cot²(t ) (2 sin(t ) - 1) = 0
cot²(t ) = 0 or 2 sin(t ) - 1 = 0
cot(t ) = 0 or sin(t ) = 1/2
cos(t ) / sin(t ) = 0 or sin(t ) = 1/2
cos(t ) = 0 or sin(t ) = 1/2
[t = cos⁻¹(0) + 2nπ or t = cos⁻¹(0) - π + 2nπ]
or [t = sin⁻¹(1/2) + 2nπ or t = π - sin⁻¹(1/2) + 2nπ]
(where n is any integer)
t = π/2 + 2nπ or t = -π/2 + 2nπ or t = π/6 + 2nπ or t = 5π/6 + 2nπ
Note that the first two families of solutions overlap and can be condensed, so that
t = π/2 + nπ or t = π/6 + 2nπ or t = 5π/6 + 2nπ
We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Discover the answers you need at IDNLearn.com. Thank you for visiting, and we hope to see you again for more solutions.