26. Solve each of the following equations for all values of 0 in the interval [0,2x). Give exact solutions. a) 1+ sin 0 = 2 cos 0 (Hint: use a Pythagorean identity) sin 0 cos 0 - sin 0 = 0 = tan 0) cos 0 b) (Hint: Divide by cos 0 & use Quotient Identity:

Q: 3) Use a sum/difference formula to solve: Evaluate sin (a – B) if sin a = (a in first quadrant), and…

A: We have, sinα = 45, α is in first quadrant cosβ = -1213, β is in second quadrant To evaluate : The…

Q: What is one solution to the trigonometric equation sinx – cos2x – 1 = 0 in the interval [0, 2ㅠ]? ㅇㅠ…

A:

Q: Find the exact value of the expression cos 5π/12 cos π/12 + sin 5π/12 sin π/12. Do not use a…

A: Let the given equation be y - y = cos5π12cosπ12+sin5π12sinπ12Let ,A = 5π12 and B = π12Then,y =…

Q: -1 sin ¹ (cos(-600°)) = 8. sin sec(sin-¹/3) = 9. sec 10. sin (cos ¹(-)) =

A:

Q: 7. Determine all the solutions to the equation in the interval [0, 27): sin 20 cos0 – cos 20 sin0 +1…

A: As we know that Sinx-y=SinxCosy-CosxSinyThe genaral solution of Sinz=-1  then z=Sin-1-1=nπ±π2

Q: All of the Pythagorean identities are related. Describe how to manipulate the equations to get from…

A: Pythagorean identities of trigonometric ratios are all derived from the fundamental identity:…

Q: If cos(0 - π/2) 0.54, find sin(- 0)

A:

Q: 4 cosx-1 solve the equation 2 sin x : , giving all values of x between tan x 0° and 360°.

A: The given trigonometric equation is  2sinx = 4cosx-1tanx

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.