Trigonometry Answers

(sinx+cosx)² -sin(2x)=1

For the expression below, write an equivalent algebraic expression that involves x only. Assume x is positive.

sec(sin^-1 1/x)

a tugboat is 36km due north of lighthouse C. Lighthouse B is directly east of lighthouse C. The lighthouses are 53km apart. Find the bearing og lighthouse B from the tugboat and the distance of lighthouse B from the tugboat.

If cosx+2cos(x+240°)=1

Determine the general equations

Cosx+2cos(x+240°)

Simplify the equation

cos^-1(sin^-1(tan^-1(x)))

Explain how the graph of r(x)=-3tan(1/2x)

is related to the graph of the basic trigonometric function f(x)=tanx

.

Part I: What kind of reflection does the basic function experience? (2 points)

Part II: What is the vertical stretch factor of the function R(x)? (2 points)

Vertical shift ; none

Part III: What is the horizontal stretch factor of the function R(x)? (4 points)

If A=102 and B=54 calculate the value of sin^3(A)+cos B /sin B

1If A=

. Convert 64.32

into degrees, minutes, and seconds. 

the distance in kilometres of a streetcar away from the station is modellled by d(t)= - 6 sin (pi/10(t+5))+6 where t is the time in minutes. each round trip take 20 minutes. When will the streetcar be 8km away from the station in the next 30 mins