296 Answered Questions for the topic Trigonometric Functions

Trigonometric Functions

01/17/18

Help needed in determining sin(x +y).

Question:   Determine sin(x + y) when sin(x) = 1/3, -π/2 ≤ x ≤ π/2 and cos(y) = -1/4, π ≤ x ≤ 2π     Much appreciated if anyone might be willing to help me out on this one.
Trigonometric Functions Grade 12 Advanced Functions

01/10/18

a pendulum swings back and forth taking 2 seconds to move from the position directly above from point a to the position directly above point b, as shown in the

a pendulum swings back and forth taking 2 seconds to move from the position directly above from point a to the position directly above point b, as shown in the figure below. the distance form a to... more
Trigonometric Functions Equations Trignometry

12/12/17

Solving a trigonometric equation

A point on an industrial flywheel experiences a motion described by the function h(t)=13cos(pi/0.35)t + 15.   What is the general solution for the time it takes to reach maximum... more

12/09/17

Sinusoidal functions (wave problem)

The depth of water in a certain area can be estimated by using this equation:   h(t)=-4.3cos(pi/6.35(t+1.6))+8.4   A boat requires a depth of 7.2 m to ensure safe passage into the area. The... more

12/06/17

Application of a sinusoidal function

Suppose a sales can be modelled by the equation;   S=200+200cos[pi/6(t+2)]   where t is time in months with t=0 corresponding to January for what month are sales equal to 0?
Trigonometric Functions Math Precalculus Trigonometry

12/03/17

I don't understand what this trig problem is asking!!!!!! Can provide more info if needed

If csc(α) = 3, where 0 < α < π/2, and β is a Quadrant II angle with tan(β) = −7, find   cos(α+β)   And there are others that I'm supposed to find, such as sin(α+β), but this is just the... more
Trigonometric Functions Math Trigonometry Sat Math

12/01/17

if h(x) = f(g(x)) where h(x) = sinx and f(x) = cosx which of the following could define the function g

options given g(x) = √(x2-1) g(x) = √(1-x2) g(x) = (π/2) +x g(x) = (π/2) - x g(x) = tanx I tried doing it but cos^-1(sinx) isn't possible to do with what i know
Trigonometric Functions Trigonometry Phase Shift

11/30/17

Sinusoidal functions (phase shift)

A sine function has a maximum value of -5, a minimum value of -29, and consecutive minimum values when x= -π/5 and x= (4π)/15. Determine the phase shift
Trigonometric Functions Trigonometry Math Help Math Help For College

11/28/17

Trig equations

A boat sails on a bearing of 75° for 128miles and then turns and sails 203miles on a bearing of 191°. Find the distance of the boat from its starting point.   I am unsure how to solve this equation

11/15/17

Solve a trig equation

solve the equation for the solutions over the interval [0 degrees, 360 degrees)   6sec2xtanx=12tanx   I am unsure of where to begin.

11/15/17

Trig functions

cos(3theta)=-1 solve for exact solutions over the interval [0,360 degrees]   I am having trouble finding a place to start.
Trigonometric Functions Trigonometry Math Help Math Problem

11/15/17

Trig questions

I am getting stuck at 7 plus or minus sqrt 309 / 26   13sin^2x-7sinx=5 solve for interval [0,360degrees] 
Trigonometric Functions

11/14/17

Proof:cot^2(A)+1/cos^2(A)-1=sec(2A)

Plz help me solve this sum, I will really appreciate it.
Trigonometric Functions

10/24/17

find an equation of a sinusoidal function that has minimum at the point (2,1) has a period of 8 and an amplitude of 3

 find an equation of a sinusoidal function that has minimum at the point (2,1) has a period of 8 and an amplitude of 3
Trigonometric Functions Trig Intervals

10/23/17

cos(4theta)-cos(6theta)=0

cos(4θ)-cos(6θ) on the interval 0≤θ<2π
Trigonometric Functions

10/19/17

Solve the equation on the interval 0 less than or equals theta less than 2 pi 0≤θ<2π. 2 cosine theta plus 1 equals 0 2cosθ+1=0

Solve the equation on the interval 0 less than or equals theta less than 2 pi0≤θ<2π.2 cosine theta plus 1 equals 02cosθ+1=0
Trigonometric Functions Trigonometry

10/04/17

find the angle in radians in the figure below if s=10 and r=7

you haveto change it from radians to degrees 
Trigonometric Functions Trigonometry

10/01/17

Even-odd and periodic properties of trigonometric functions

-sin(3x+2π)+cos(-3x)•tan(π-3x)
Trigonometric Functions Optimization

09/19/17

finding the max of a trig function

f(x) = 5sin (-4x)-3 in the domain 0<x<2 pi i know how to find the derivative f'(x) = -20 cos (-4x)   but i am unsure as to how you solve this for critical... more
Trigonometric Functions Trigonometric Identities

09/14/17

By definition of amplitude, in order for a function to have an amplitude the function must be...

There are 2 possible answers I can choose from. Either Bounded or Continuous
Trigonometric Functions

08/25/17

cos θ =  1 2 and θ terminates in QIV

Find the remaining trigonometric functions of θ based on the given information. cos θ = 12and θ terminates in QIV
Trigonometric Functions

08/25/17

If g(x.y) = cos(3x + 4y) , what is the range of g(x,y) in interval notation?

 I know that the range of cos(x) is [-1,1], but I'm not sure how to calculate the range for this function.
Trigonometric Functions Math Pre Calculus

08/18/17

True or False: For a one-to-one function, y= f(x), then x = f^-1(y)

How do you get the solution?
Trigonometric Functions

08/08/17

Trig function

1.A mass on a spring moving up and down is an example of harmonic motion. If the height of the spring mass system follows the function h(t)=5cos2t , where t is the time in seconds and h is the... more
Trigonometric Functions Trigonometry

08/07/17

Prove the Identity (step by step)

sin(x) + sin(3x) = 4 sin(x) cos^2(x)

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