For what angle is sin θ + cos θ = 2.34?

Sine and cosine — a.k.a., sin(θ) and cos(θ) — are functions revealing the shape of a right triangle. Looking out from a vertex with angle θ, sin(θ) is the ratio of the opposite side to the hypotenuse , while cos(θ) is the ratio of the adjacent side to the hypotenuse .

i don't get it but i hope this helps

  θ ≈ 0.785398 -1.089533i radians

Step-by-step explanation:

The sum of the sine and cosine can never exceed √2 for real-valued angles. The angle that gives this sum is the complex angle ...

  θ ≈ 0.785398 -1.089533i radians

Additional comment

  sin(θ) +cos(θ) = √2·cos(θ-π/4)

We want the value of this to be 2.34, so ...

  2.34 = √2·cos(θ -π/4)

  cos(θ -π/4) = 2.34/√2

  θ -π/4 = arccos(1.17√2)

  θ = π/4 +arccos(1.17√2)

A suitable calculator can provide the complex value of the arccos of a number greater than 1.

rectangle: 9 1/8 x 4 1/9 = 37 37/72in

parallelogram: b times h= 10.3 x 6.2 = 63.86

trapezoid: a+b/2 times h= 42.5

volume of prism: l times w times h= 36

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be