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The image depicts a close-up, top-down view of a document containing various trigonometric identities, presumably a study sheet or a page from a mathematics notebook. The document is rendered on light bluish paper, exhibiting handwritten or printed mathematical expressions. Multiple formulas are enclosed within outlines of varying colors, including purple, red, yellow, green, and blue. Visible identities include: * `sin(α ± β) = sin α cos β ± cos α sin β` (purple outline) * `tg(α ± β) = (tg α ± tg β) / (1 ∓ tg α tg β)` (purple outline) * `sin 2α = 2 sin α cos α` (red outline) * `cos(α ± β) = cos α cos β ∓ sin α sin β` (purple outline) * `cotg(α ± β) = (cotg α cotg β ∓ 1) / (cotg β ± cotg α)` (purple outline) * `sin 2α = (2 tg α) / (1 + tg² α)` * `cos 2α = (1 - tg² α) / (1 + tg² α)` * `cos 2α = cos² α - sin² α = 2 cos² α - 1 = 1 - 2 sin² α` (red outline) * `tg 2α = (2 tg α) / (1 - tg² α)` * `cotg 2α = (cotg² α - 1) / (2 cotg α)` * `sin α + sin β = 2 sin ((α + β) / 2) cos ((α - β) / 2)` (yellow outline) * `sin α - sin β = 2 sin ((α - β) / 2) cos ((α + β) / 2)` (yellow outline) * `cos α + cos β = 2 cos ((α + β) / 2) cos ((α - β) / 2)` (yellow outline) * `cos α - cos β = -2 sin ((α + β) / 2) sin ((α - β) / 2)` (yellow outline) * `1 - cos 2α = 2 sin² α` (red outline) * `1 + cos 2α = 2 cos² α` (red outline) * `sin α sin β = (1/2)(cos(α - β) - cos(α + β))` (green outline) * `cos α cos β = (1/2)(cos(α - β) + cos(α + β))` (green outline) * `sin α cos β = (1/2)(sin(α + β) + sin(α - β))` (green outline) * A partially visible formula `sin (α/2) = ±√( (1 - cos α) / 2 )` (blue outline). At the bottom center, a non-English heading is visible, reading `Ръбести и валчести`, likely pertaining to
FM-KXRil2

Jun 6, 2026

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The image depicts a close-up, top-down view of a document containing various trigonometric identities, presumably a study sheet or a page from a mathematics notebook. The document is rendered on light bluish paper, exhibiting handwritten or printed mathematical expressions. Multiple formulas are enclosed within outlines of varying colors, including purple, red, yellow, green, and blue. Visible identities include: * `sin(α ± β) = sin α cos β ± cos α sin β` (purple outline) * `tg(α ± β) = (tg α ± tg β) / (1 ∓ tg α tg β)` (purple outline) * `sin 2α = 2 sin α cos α` (red outline) * `cos(α ± β) = cos α cos β ∓ sin α sin β` (purple outline) * `cotg(α ± β) = (cotg α cotg β ∓ 1) / (cotg β ± cotg α)` (purple outline) * `sin 2α = (2 tg α) / (1 + tg² α)` * `cos 2α = (1 - tg² α) / (1 + tg² α)` * `cos 2α = cos² α - sin² α = 2 cos² α - 1 = 1 - 2 sin² α` (red outline) * `tg 2α = (2 tg α) / (1 - tg² α)` * `cotg 2α = (cotg² α - 1) / (2 cotg α)` * `sin α + sin β = 2 sin ((α + β) / 2) cos ((α - β) / 2)` (yellow outline) * `sin α - sin β = 2 sin ((α - β) / 2) cos ((α + β) / 2)` (yellow outline) * `cos α + cos β = 2 cos ((α + β) / 2) cos ((α - β) / 2)` (yellow outline) * `cos α - cos β = -2 sin ((α + β) / 2) sin ((α - β) / 2)` (yellow outline) * `1 - cos 2α = 2 sin² α` (red outline) * `1 + cos 2α = 2 cos² α` (red outline) * `sin α sin β = (1/2)(cos(α - β) - cos(α + β))` (green outline) * `cos α cos β = (1/2)(cos(α - β) + cos(α + β))` (green outline) * `sin α cos β = (1/2)(sin(α + β) + sin(α - β))` (green outline) * A partially visible formula `sin (α/2) = ±√( (1 - cos α) / 2 )` (blue outline). At the bottom center, a non-English heading is visible, reading `Ръбести и валчести`, likely pertaining to

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