3. Given: A and B are positive acute angles, where sin A = { and cos B = 3 Find the exact value of sin(A+B). 4. Given: angles A and B are in Quadrant I, where 5 tan 4= - and sin B=- V74 Find the exact value of tan(A+B). 5. Given: A lies in Quadrant III and B lies in Quadrant II, sin A=-.- and cos B= Find the exact value of cos(A-B). 17
Find the exact values for sin , cos , and tan 0 61 60 11 sin = (Simplify your answer. Type an integer or a fraction.) cos = (Simplify your answer. Type an integer or a fraction.) tan = (Simplify your answer. Type an integer or a fraction.)
show work 9. tan 37 10. sec 4 11. Find sin(x + y) and cos(x + y) if cosx = - cosy = -— x is in quadrant II and y is in quadrant III. [10] 12. Find the exact value of sin 2x and cos 2x if sin x = and cos x = - [6] 5 13. Simplify tan (x + 3) to a form involving sinx, cosx, and/or tanx. [6]
If sin(x) = 4/5 and cos(y) = 5/13 with both x and y terminating in quadrant 1 find the exact value of cos(x-y) I know that the denominator will be 65
- 13. a) Find the angles o such that cos e b) Find the angles o such that sin 0 = c) Find the exact value of tan 240 NIL 2
Quadrant(s) in which y = sin x decreases and y = cos x increases. Check all 1 point that apply. * OQI Q11 000 1 point Quadrant(s) in which y = cos x is BOTH increasing and negative. Check all that apply. * OQI O QUI O QIII O QIV Quadrant(s) in which y = tan x is BOTH increasing and negative. Check all that apply. * 1 point OQI O QUI O O O QIII QIV O 1 point...
Evaluate the double integral f(r, ) dA. 7/6 2 p2 sin(O) cos(O) dr do Jo Jo Enter a fraction, integer or exact decimal. Do not approximate.
Verify that the equation is an identity. sin (x-y) tan x- tany sin (x+y) tanx + tany Which of the following statements verifies that the equation is an identity? O A A tan x-tany tanx+ tany sin?(x - y) V1- cos? (x-y) 11 - cos? (x + y) sin(x - y) sin (x+y) O B. sin (x-y) sin cosy - cos x siny sin x- cos y tan x-tany sin (x+y) sin x cos y + cos x siny sin...
If cos(+ 6 the number A cos(x + 5) + sin(- - ) = A, then 8 Find the EXACT value of sin(A + B) if sin A = - where A is in Quadrant IV and sin B = 17 B is in Quadrant III. Assume all angles are measured from standard position. 12 where 13 sin(A + B) =
Q a cos 7x- cos 9x The graph with the equation y= is shown sin 7x + sin 9x in a [0,2x,x] by [-2.2.1] viewing rectangle. a. Describe the graph using another equation. b. Verify that the two equations are equivalent 22 a. Write another equation of the given graph y = tan x (Type an equation using x as the variable) b. To verify that the two equations are equal, start with the numerator of the right side and...