Trigonometry Answers

Solve the following in the interval [0;2 π]

sinx > √3/2

cosx > √3/2

IcosxI ≤ 1/2

Let a=cos(π/3), b=cos(1radian), c=cos(1degree), we have that

A.c a

sec (theta)=negative two over the square root of three

solve for theta

Assume f(x) = sin(x+/π4)cos(π/4) + cos(x+/π4)sin(π/4) for all x elements of R. Which of the following statements is correct?

A. f(x) = -cos(x)

B. f(x) = sin(x)

C. f(x) = cos(x)

D. f(x) = -sin(x)

Let x be an element of 0, [0, π]. We consider the inequalities {sinx>=[(2)^1/2]/2, 0<=cosx<(1/2). Which of the following statements is correct?

A. X is an element belonging to [π/4, π/3[;

B. X is an element belonging to ]π/4, 3π/4[

C. X is an element belonging to ]π/3, π]

D. X is an element belonging to ]π/3, π/2]

23.2 If f(t) = 2 sin t + 3 cost, express f(t) as a single sinusoid and hence determine its

amplitude and phase.

An airplane sighted at the same time by two ground observers who are 5 miles apart and both directly west of the airplane. They report the angles of elevation as 13 degrees and 22 degrees. How high is the airplane?

1. Determine the general solution of the equation: 4sin² x - 3 = 0

A software designer is mapping the streets for a new racing game. All of the streets are depicted as either perpendicular or parallel lines. The equation of the lane passing through A and B is -7x + 3y = -21.5. What is the equation of the central street PQ?

from the top of an 80 ft building the angle of elevation of the top of the taller building is 49 degrees and the angle of depression of the base of this building is 62 determine the height of the taller building to the nearest foot