Clickhere👆to get an answer to your question ️ If cos A = 4/5 , cos B = 12/13 , 3pi/2 < A, B< 2 pi , find the values of the following.(i) cos (A + B)(ii) sin (A - B) Solve Study Textbooks Guides. Join / Login >> Class 11 >> Maths >> Trigonometric Functions
Let`cos^(-1) 12/13 = x` ∴ `cos x = 12/13` ∴ `sin x = 5/13` and let `sin^(-1) 3/5 = y ` sin y = `3/5` `:. cos y= 4/5` ∴ using sin (x + y) = sin x cos y + cos x sin y `= 5/13xx4/5+ 12/13xx3/5` `= (20+36)/(13xx5)` = `56/65` ∴ x + y =`sin^(-1) 56/65`
Thefunctions sin x and cos x can be expressed by series that converge for all values of x: These series can be used to obtain approximate expressions for sin x and cos x for small values of x: The trigonometric system 1, cos x, sin x, cos 2x, sin 2x, . . ., cos nx, sin nx,constitutes an orthogonal system of functions on the interval
We can also state that if, for a certain angle t, t, cos t = 5 13, cos t = 5 13, then sin (π 2 − t) = 5 13 sin (π 2 − t) = 5 13 as well. Cofunction Identities The cofunction identities in radians are listed in Table 1 .
Question13. Evaluate: sin θ.sec(9O – θ) Solution: Question 14. Find the value of (cosec² θ – l).tan²θ Solution: Short Answer Type Question I [2 Marks] Question 15. Prove the following identity:sin³ θ+cos³ θ/sin θ+cos θ= 1 – sin Solution: Short Answer Type Questions II [3 Marks] Question 16.
Giventhe side lengths of a right triangle and one of the acute angles, find the sine, cosine, and tangent of that angle. Find the sine as the ratio of the opposite side to the hypotenuse. We can also state that if, for a given angle t, cos t = 5 13, t, cos t = 5 13, then sin (π 2 − t) = 5 13 sin
A: Given three sides of a right triangle, find all six trigonometric ratios. Exercise 5.2e. A. ★ Given right triangle ABC where the right angle is angle C in each figure below, (a) Label the remaining sides and angles. (b) Designate the hypotenuse, adjacent side or opposite side to angle A. Determine the trigonometric ratios for (c) sinA, (d
Trigonometry- Sin, Cos, Tan, Cot. A circle centered at the origin of the coordinate system and with a radius of 1 is known as a unit circle . If P is a point from the circle and A is the angle between PO and x axis then: The x -coordinate of P is called the cosine of A and is denoted by cos A ; The y -coordinate of P is called the sine of A
在直角坐标系平面上f(x)＝sin(x)和f(x)＝cos(x)函数的图像. 从几何定义中能推导出很多三角函数的性质。例如正弦函数、正切函数、余切函数和余割函数是奇函数，余弦函数和正割函数是偶函数 。正弦和余弦函数的图像形状一样（见右图），可以看作是沿著坐标横
Ifα and β lie between 0 and (π/4), find tan 2α, given that cos(α+β)=(4/5) and sin(α-β)=(5/13). (A) 50/33 (B) 56/33 (C) 52/33 (D) 48/33. Check
Diketahuisin A = 3 5 , cos B = 5 13 , A dan B sudut lancip, maka nilai dari sin(A + B) = A. − 63 65 B. 50 33 33 − 63 65 C. − 65 D. 65 E. 65. 22. Jika cos A = 4 5 dan 0 ° < A < 90 ° , maka sin 2A = A. 24 8 6 25 7 B. 10 4 C. 10 D. 25 E. 25. 24. Himpunan penyelesaian dari persamaan 2 cos 3x ° - 1 = 0, untuk 0 °≤ x ≤ 360
Question 1127103: Find the exact value of sin(a+b), given that sin a=-4/5 and cos b = 12/13, with a in quadrant III and b in quadrant IV Answer by ikleyn(49651) (Show Source): You can put this solution on YOUR website!
In a right triangle, one angle measures x ∘ , where cos x ∘ = 5 13 So, cos(60) = sin(30), cos(45) = sin(45), and so on. For the other quadrants, you can draw a little picture, and using your knowledge that sine is the vertical distance from the point on the unit circle to the origin and cosine is the horizontal, you can fill in
105 460 10. S 10. S What are the sine, cosine, and tangent ratios for LG? 15 cos G h IS Ex: Find the following: 5 sin A = S cos A = tan A = sin C = cos C = tan C = Key Concept Trigonometric Ratios E length sine of LA = c, len length cosine of ZA — tangent of LA = 8-3 Trigonometry Understand what the Sin., and tan. are cos., Use these
let sin A = 5/13 with A in Quadrant I and sin B = 15/17 with B in Quadrant I find the following. sin(A + B) Find sin s. cos s = 5 over 13 and s is in quadrant l. Find sin s. cos s = 1 over 2 and s is in quadrant I. Find cos (2A), if sin (A) = 12 over 13, and A is in quadrant 2.
jF6ekQg.
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
sin a 4 5 cos b 5 13
