MATH SL: Circular Functions and Trigonometry [Emma + Claire ]

Area of triangle DEF = 10√3, d = 5, e = 8, f = (√3)/4, Find angle EFD (in radians)

h(x) = 4/( 2 sin (x + pi/4) - 3). Does the graph of h have a vertical asymptote?

Given that sin x = 2/3, and π/2 ≤ x ≤ π, FIND cos x. HINT: use Pythagorean identity

A graph has a max (4,12), and a min (8,-4). Find the amplitude of the graph.

Circle C has equation x² + y² + 4x - 2y - 11 = 0. Find the coordinates of the center.

2 circles have radius 7 cm with centers A and B. AB = 12 cm, Find angle CAB in radians

The graph has a min at (2, -5) and a max at (4, 3). It's function is y = a cos bx + d. FIND a.

Find the amplitude of f(x) = 3 sin (2x - (π/3)) + 4

A sector has radius r, and Θ= 2π/5. The area of the sector is 45π cm² Find the radius.

in the function y = a sin (b (x- c)) + d, what variable affects vertical translation?

for the function y = sin x, find the smallest value of x in radians where f is a maximum.

A sector EFG has radius of 6 cm, internal angle EFG = 0.95 rad. Find the length of the arc EG.

A sector has radius = 5, Θ = π/6 , find area of sector

Express 72 degrees exactly in radians. Simplify your answer.

Find the period of f(x) = 3 cos (4πx - (π/2) ) - 2

Find the angle Θ in radians. - look at the picture

what is the period of y = sin (x + pi/6) + 1?

Find the radius of a circle with equation (x+4)² + (y-1)² = 16

Triangle ABC has sides a = 8.28, b = 6.56, and c = 3.63 cm. Find angles A, B, and C (degrees)

what is the amplitude of y = tan x?

ship A sails north 30 km. ship B sails at 50^o for 65 km. what is the distance btw A and B?

for the function f(x) = sin x, find the max value of f.

p = sin 40^o and q = cos 110^o . Write an expression for sin 140^o in terms of p and/or q.

solve the equation cos 2x + cos x = 0 for 0⩽x⩽π

describe the transformation from y = sin x to y= 2 sin (x + (π/4) ).

Find BD. use calc

Given that sinx = 2/3 and pi/2 ≤ x≤ pi, find cos x

In triangle ABC, ∡B= 100^o , side a = 10 cm, side c=6 cm. Find side b. the pic is claire's fault

h(x) = 4/(2 sin( x+ pi/4) -3). Find the range.

sin (3π/4)