Simplify each of the following as much as possible without using a calculator – show your work. 5. a) cos(75°) cos(25°) + sin(75°) sin(25º) а) tan() - tan() b) 1+ tan (4t tan 12 b)

Q: A. Simplify each of the following expressions. 1. sin?xcotxcscx cotx(sinx+tan.x) cscx+cotxr 3.…

A: 2. cotx sinx+tanxcscx+cotx4. 1-tan2x1+tan2x+1

Q: Solve the equation 2 sin 3u – 2 = 0 for all possible solutions. Give EXACT answers in radians. u = k…

A: Step I : Given :   2sin3u-2 = 0Solve for all possible solutions:…

Q: Find the exact value of tan (2 cos-1

A: We can solve the problem by applying trigonometric ratio.

Q: how sinx derives to cosx

A:

Q: 7. Evaluate the following. a. cos b. tan-(-1)

A: To evaluate: a) cos-1-32 b) tan-1-1

Q: 2. Find the exact value of the following a. cos 12 b. sin (70°) cos (40°) – cos (70°) sin (40°)

A:

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.