12 You are given that sin(A) = -, with A in Quadrant IV, and sin(B) -, with B in Quadrant III. Find cos(A + B). 13 %3D 25 Give your answer as a fraction.

Q: sin a = cos (a + 40) %3D а. 25° b. 40° с. 140° d. 50°

A: Given : sinα = cosα + 40

Q: End a f4 4x cos (11 - 5x²) dx. Simplify your answer. Answer:

A: ∫ 4x· cos11-5x2dx

Q: 4 If tan(a) and cos(b) 3 answer in a simplified fraction. 8 with a in quadrant III and b in quadrant…

A:

Q: a. 3x cos x dx = cos X+ C 3x2 b. - 3x cos x dx = - 3x sin X+C C. Right, or wrong? Say which for each…

A: a) ∫−3xcosxdx=−3x22cosx+C

Q: Assume that the following relationship is known to be true for two angles A and B: sin A cos B-cos A…

A:

Q: 3. Use the diagram below to complete the table. y 3 х (A Coordinates of A sin 3 cos 4 tan 3

A: Given angle lies in the 3rd Quadrant

Q: Find cos(A - B). cos A = V10 and sin B = ,where 0° <A<90° and 270° <B< 360°. 10 O V10-3 30 20 O…

A: Given query is to find cos (A-B).

Q: Which of the following is true? 10 A 8. B А: sin(A) = 6 10

A: Given query is to find the correct option for right angle triangle.

Trigonometric Identities

Trigonometry in mathematics deals with the right-angled triangle’s angles and sides. By trigonometric identities, we mean the identities we use whenever we need to express the various trigonometric functions in terms of an equation.

Inverse Trigonometric Functions

Inverse trigonometric functions are the inverse of normal trigonometric functions. Alternatively denoted as cyclometric or arcus functions, these inverse trigonometric functions exist to counter the basic trigonometric functions, such as sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec). When trigonometric ratios are calculated, the angular values can be calculated with the help of the inverse trigonometric functions.