04-01-2018
Mathematics

contestada

3cosx+4sinx=2 solve for angle between 0 and 360(0

Respuesta :

Аноним Аноним

04-01-2018

let 4sinx + 3cosx = R sin(x + a) = Rsinxcosa + Rcosxsina

equating coefficients of sinx and cosx:-
RcosA = 4 ......(1)
RsinA = 3.......(2)
So
tan A = 3/4 and A = 36.87 degrees
Find R by squaring and adding (1) and (2)

25 = R^2
R = 5
so we have 5sin(x + 36.87) = 2

sin (x + 36.87) = 0.4

x + 36.87 = arcsin 0.4 = 23.58 degrees

x = - 13.29 degrees

answer is 346.7 degrees

Answer Link

Otras preguntas

If a translation maps point (3, 2) to (5, 3); or T:(3, 2) (5, 3), indicate the image for (2, 4). (4, 5) (0, 3) (5, 3)

After we found the classroom, we sneaked in the back and took our seats. what is the subordinate idea in the sentence?

Why do leaves change colors in the fall?

Jim has 4 different versions of thistles invading his back yard. He estimates that of these thistles, 1/2 are Canadian, 1/4 are bull thistles, 1/6 are plumeless

which must be true of a quadratic function whose vertex is the same as its y-intercept? the axis of symmetry for the function is x = 0. the axis of symmetry for

Which of the following statements is correct with respect to the photosynthetic pathway of grass or a cactus? In a cactus, carbon is fixed only during the day.

hello can someone please help me on this please

between the 1400s and 1800s, europe was primarily interested in africa as a source of: a : ivory b : slaves c : rubber

a charged object cannot attract a neutral object. true false

Two triangles that have the same side length will always be congruent true or false?