2x 5я 0 (0, 0) 11x 4x 5я FIGURE 22 13. sin x

Q: Denote by θ the smallest positive angle whose terminal side passes through P(-5,12). What is the…

A: Since θ in II quadrant, one can draw the triangle like the one shown above.    We…

Q: Suppose that sin(θ) = 24, where 0 < θ < π/2. Sketch a possible right triangle containing θ, and use…

A: We will find the answers as following.

Q: Find the points of intersection of the graphs of the equations r = 1 + sin θ,       r = 3 sin θ

A: r = 1 + sin θ,       r = 3 sin θ To find: The points of intersection of the graphs of the equations.

Q: Find a solution for sec(20+25°) = csc(30 +15°)

A: The given equation is:sec2θ+25°=csc3θ+15°We need to solve the above equation.

Q: If (x, y) = (-3, –3), then find the corresponding values of r > 0 and 0 < 0 < 2n in radians.

A: Explanation of the answer is as follows

Q: () V3 i) tan 3 c) sin- cos

A: (c) sin-1(12) = π6this is in quadrant 1

Q: ㅠ Find an angle with < 0 < 27 that has the same: 2 Sine as π -: 0= 4 Cosine as ㅠ -: 0= 4 radians…

A:

Q: Determine the reference angle of -5π/6

A:

Q: Find the Cos x if the point (-4, 6) is on the terminal ray for x, and the triangle is drawn in…

A:

Q: Find a co-terminal positive angle between 0° and 360° of  745°

A:

Q: Sketch θ=7π/6  in standard position.

A:

Q: Find the acute angle (in degrees) of intersection between y = sin x and y = cos x at the first point…

A: sin2 x +cos2 x =1 In first Quadrant all trigonometry ratios are positive.

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.