Tolongdi jwab 4(cos 120 -sin 150)dibagi sin30 ,segera d jwab pnting nih Matematika 1 20.03.2018 17:53. Tahukah Anda jawaban yang benar?
If \[\sin A = \frac{4}{5}\] and \[\cos B = \frac{5}{13}\], where 0 < A, \[B < \frac{\pi}{2}\], find the value of the following sin A + B Given \[ \sin A = \frac{4}{5}\text{ and }\cos B = \frac{5}{13}\]We know that\[ \cos A = \sqrt{1 - \sin^2 A}\text{ and }\sin B = \sqrt{1 - \cos^2 B} ,\text{ where }0 < A , B < \frac{\pi}{2}\]\[ \Rightarrow \cos A = \sqrt{1 - \left \frac{4}{5} \right^2} \text{ and }\sin B = \sqrt{1 - \left \frac{5}{13} \right^2}\]\[ \Rightarrow \cos A = \sqrt{1 - \frac{16}{25}}\text{ and }\sin B = \sqrt{1 - \frac{25}{169}}\]\[ \Rightarrow \cos A = \sqrt{\frac{9}{25}}\text{ and }\sin B = \sqrt{\frac{144}{169}}\]\[ \Rightarrow \cos A = \frac{3}{5}\text{ and }\sin B = \frac{12}{13}\]Now,\[ \sin\left A + B \right = \sin A \cos B + \cos A \sin B\]\[ = \frac{4}{5} \times \frac{5}{13} + \frac{3}{5} \times \frac{12}{13}\]\[ = \frac{20}{65} + \frac{36}{65}\]\[ = \frac{56}{65}\] dimana| a |, | b | dan | c | berturut-turut adalah panjang dari vektor a, b dan c. Contoh 5 Diketahui | a | = 5, | b | = 3 dan | a - b | = 2√6. Apabila a dan b membentuk sudut lancip sebesar α, tentukan nilai sin α Jawab : | a - b | 2 = | a | 2 + | b | 2 - 2 | a | | b | cos α (2√6) 2 = (5) 2 + (3) 2 - 2 (5) (3) cos α 24 = 34 - 30 cos Byju's AnswerStandard XIIMathematicsComposition of Trigonometric Functions and Inverse Trigonometric FunctionsIf cos a+b=4 ...QuestionOpen in AppSolutiongiven, cosA+B = 4/5, thus tanA+B=3/4. sinA-B=5/13,thus tanA-B=5/12. then tan2A=tanA+B+A-B =tanA+B+tanA-B/1-tanA+BtanA-B =3/4+5/12/1-3/45/12 =56/ Corrections20Similar questionsQ. If sinA=45 and cosB=513, where 0

Theorem 1.2 Cofunction Theorem. If A and B are the complementary acute angles in a right triangle ABC, then the following relations hold: sinA = cos B sec A = csc B tan A = cotB. sinB = cos A sec B = csc A tan B = cotA. We say that the pairs of functions { sin, cos }, { sec, csc }, and { tan, cot} are cofunctions.

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Example Find sin 75°, which is sin 5π/12. Solution: 75° is half of 150°, and you know the functions of 150° exactly because they are the same as the functions of 30°, give or take a minus sign. sin 75° = sin(150°/2) = ±√ (1 − cos 150°)/2. Here, cos 150° is negative because 150° is to the left of the origin, in Quadrant II, and 180° − 150° = 30°, so
Answerto Solved Let sin A=4/5 with A in QII and sin B= -5/13 with B
Ifsin a = 3/5, find cos a and tan a. Trigonometry is a discipline of mathematics that studies the relationships between the lengths of the sides and angles of a right-angled triangle. Trigonometric functions, also known as goniometric functions, angle functions, or circular functions, are functions that establish the relationship between an KunciSoal UTBK 2019 Matematika Saintek. Catatan : (1).Pembahasannya di update berkala. (2). Untuk pembahasannya, silahkan klik tombol pembahasan yang ada di bawah setiap soal. (3). Pembahasan masih terbatas untuk soal yang ada, dan akan ditambah secara berkala sesuai banyak soal yang ada di artikel ini. Untuk kumpulan soal utbk 2019 matematika InΔPQR, right-angled at point Q, PR + QR = 25 cm and PQ = 5 cm. Determine the values of sin P, cos P and tan P. We use the trigonometric ratios sin, cos and tan to solve the question. sin P = side opposite to angle P/hypotenuse = QR/PR = 12/13, cos P = side adjacent to angle P/hypotenuse = PQ/PR = 5/13, tan P = side opposite to angle P/side adjacent to angle P = oehb.
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