Penjelasan dengan langkah-langkah:

ini adalah rumus Trigonometri berikut beberapa rumusnya:⬇️⬇️

tg x = sin x / cos x

ctg x = cos x / sin x

csc x = 1 / sin x

sec x = 1 / cos x

ctg = 1 / tg x

sin² x + cos² x = 1

tg² x + 1 = sec² x

ctg² + 1 = csc² x

sin 2x = 2 sin x cos x

cos 2x = cos² x - sin² x = 2 cos² x - 1 = 1 - 2 sin² x

tan 2x = (2 tan x) / (1 - tan² x)

sin 3x = 3 sin x - 4 sin³ x

cos 3x = 4 cos³ x - 3 cos x

tan 3x = (3 tan x - tan³ x)/(1 - 3 tan² x)

1 - cos x = 2 sin² ½x

1 + cos x = 2 cos² ½x

1 ± sin x = 1 ± cos (½π - x)

KUADRAN I

cos (90 – x)˚ = sin x

tg (90 – x)˚ = ctg x

ctg (90 – x)˚ = tg x

KUADRAN II

sin (90 + x)˚ = cos x

cos (90 + x)˚ = –sin x

tg (90 + x)˚ = –ctg x

ctg (90 + x)˚ = –tg x

sin (180 – x)˚ = sin x

cos (180 – x)˚ = –cos x

tg (180 – x)˚ = –tg x

ctg (180 – x)˚ = –ctg x

KUADRAN III

sin (180 + x)˚ = –sin x

cos (180 + x)˚ = –cos x

tg (180 + x)˚ = tg x

ctg (180 + x)˚ = ctg x

sin (270 – x)˚ = –cos x

cos (270 - x)˚ = –sin x

tg (270 – x)˚ = ctg x

ctg (270 – x)˚ = tg x

KUADRAN IV

sin (270 + x)˚ = –cos x

cos (270 + x)˚ = sin x

tg (270 + x)˚ = –ctg x

ctg (270 + x)˚ = –tg x

sin (360 – x)˚ = –sin x

cos (360 – x)˚ = cos x

tg (360 – x)˚ = –tg x

ctg (360 – x)˚ = –ctg x

JUMLAH DAN SELISIH DUA SUDUT

sin (A + B) = sin A cos B + cos A sin B

sin (A – B) = sin A cos B – cos A sin B

cos (A + B) = cos A cos B – sin A sin B

cos (A – B) = cos A cos B + sin A. sin B

tg (A + B) = (tan A + tan B) / (1 – tan A tan B)

tg (A – B) = (tan A – tan B) / (1 + tan A tan B)

PENJUMLAAN SIN, COS, dan TAN

sin A + sin B = 2 sin ½(A + B) cos ½(A – B)

sin A – sin B = 2 cos ½(A + B) sin ½(A – B)

cos A + cos B = 2 cos ½(A + B) cos ½(A – B)

cos A – cos B = –2 sin ½(A + B) sin ½(A – B)

tan A + tan B = 2 sin (A + B) / {cos (A + B) + cos (A – B)}

tan A – tan B = 2 sin (A + B) / {cos (A + B) + cos (A – B)}

PERKALIAN SIN dan COS

2 sin A cos B = sin (A + B) + sin (A - B)

2 cos A sin B = sin (A + B) - sin (A - B)

2 cos A cos B = sin (A + B) + cos (A - B)

2 sin A sin B = sin (A - B) - cos (A + B)

SEMOGA MEMBANTU,MAAF SALAH YA