109 Answered Questions for the topic Sine

07/09/19

Write −6sin(8t)+5cos(8t) in the form Asin(Bt+ϕ) using sum or difference formulas.

-6sin(8t)+5cos(8t)= Please provide all steps! Thank You!

07/09/19

If cos^2sin^4x= A+Bcos2x+Ccos4x+Dcos2xcos4x, then A= B= C= D=

Please tell me how you got it by showing steps!! what does A, B, C, and D equal in the second equation?

07/08/19

Sine and Cosine

Why can sine and cosine never be greater than 1? 

07/08/19

Sine Cosine and Tangent

Why can sine and cosine never be greater than 1? Why is it that cosecant and secant should be greater than 1? Why are tangent and cotangent sometimes undefined?

07/07/19

If sinx+cosx=sqrt(2)sin(x+Aπ), then the number 0<A=___________ <2

please provide all steps for the solution

07/07/19

Use the product to sum formula to fill in the blanks in the identity below: sin(7x)cos(4x)=1/2(sin(_____x)+sin(______x))

please provide all steps for the solution

07/07/19

Use the product-to-sum formula to find the exact value: If cos37.5∘sin7.5∘=(√A−B)/4, then A= B=

please provide all steps for the solution

07/07/19

Use the product-to-sum formula to find the exact value: If 2sin52.5∘sin97.5∘=2√+A√2, then A=

please provide all steps for the solution

07/07/19

Use the sum-to-product formula to simplify the expression: If sin41∘+sin19∘=sinA∘,0<A<90, then A= ____degrees

please provide all steps for the solution!!!!

07/02/19

Express in terms of x: sin(2arctan(x))

PLEASE give clear steps! Thank You!If the answers ends up having square roots, can you simply it where it does not

07/02/19

Find tan(arcsin(4/6) + arccos(10/17))

PLEASE show clear steps!!If the answers ends up having square roots, can you simply it where it does not

03/22/19

Triangle Area in sine

The perimeter of a triangle ABC is L metres. Find the area of the triangle in terms of L and the triangle’s angles α, β and γ.(Let AB=x. Using the sine rule, first find the other side lengths in... more

01/11/19

Trigonometry Question!

A weather ballon is tethered to the ground at an angle of inclination equal to 30°. The string used is 400ft long. Caleb and Elissa are at different positions on level ground in line with the... more

06/28/18

Help simplifying?

simplify.   2sin2x/2 -1

06/27/18

Given the function value and the quadrant restirction, find θ?

Sin θ=-0.9744   (270°, 360°)

06/06/18

Prove this identity:

prove the following identity: 2sin^2(x)/sin2(x)+cot(x)=sec(x)csc(x)   please note that the cot(x) is not with the sin2(x) as a part of the denominator. The 2sin^2(x)/sin2(x) is its own fraction.... more

06/06/18

Prove the following identity:

prove the following identity:   2sin^2(x)/sin2(x)+cot(x)=sec(x)csc(x)

04/19/18

Sine & Cosines - heading & distance

You are at point A , to the west side of a tall mountain.  You are planning a hike around the mountain to point C, which is 9 miles east of A.  You start by hiking a distance of 6.6 miles on a... more

03/02/18

See Description

One end of a wire is attached to the top of the tower and the other end to a stake in the ground that is 44’ from the base of the tower. The wire makes a 64 degree angle with the flat ground. If... more

01/18/18

What is csc2x if tanx = -3/4 and pi/2 < x < pi

The first "<" is a one with a line under it.

12/04/17

Why do the values of sin and cos follow such a pattern:

sin(0)=(√0)/2 sin(π/6)=(√1)/2 sin(π/4)=(√2)/2 sin(π/3)=(√3)/2 sin(π/2)=(√4)/2   cos(0)=(√4)/2cos(π/6)=(√3)/2cos(π/4)=(√2)/2cos(π/3)=(√1)/2cos(π/2)=(√0)/2   Why do they follow this pattern?... more

10/27/17

what is the significance between cos(45) being equal to sqrt(0.5)

I was messing with a calculator and found that the square root of 0.5 is equal to the sine and cosine of 45. I was just wondering the correlation between the two equations.

10/08/17

horizontal and vertical asymptotes of y=x/sinx

find all horizontal and vertical asymptotes of  y=x/sinx   vertical asymptotes: if i set denominator to 0, then sinx=0 and x= 0 or npi?    horizontal asymptotes: i have to find the limit of... more
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