ow that A cos(wot)+ B sin(wot) can be written in the form n(wot – 0). Determine r and 0 in terms of A and B. If os(wot – 8) = r sin(wnt – 0), determine the relationship ar 5, and 0. - tan(0) R =

Q: Prove the identity. Work on one side only. cos(4x) = 1 – 8 sin² x + 8 sin²x

A:

Q: 8. Show that sin a (1+ tan a) + cos a (1 + cot a) = sec a + csc a.

A:

Q: Suppose that cos(θ) = √6/ 5 , and π < θ < 2π.  Find the exact value of cos ( θ + 5π/ 4 )

A: It is given that, cos(θ) = √6/ 5 , and π &lt; θ &lt; 2π. We have to find the exact value of cos ( θ…

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A:

Q: If cos(8) 1 and 0 is in the 3rd quadrant, find sin(0) %3D 6. sin(0) = %3D

A: Given: Since, So,

Q: Both x and y are in the domain (0, pi/2) and the value of sinx = 3/5 and cosy = 12/13. Which of the…

A: The objective of the question is to find the value of tan(x + y) given that sin(x) = 3/5 and cos(y)…

Q: If cos(0) 7. and 0 is in the 4th quadrant, find sin(0) 8. sin(A)

A: Since, cos θ=78and θ is in the fourth quadrant.Our Aim is to find sin θ=?

Q: Use the double-angle formula for cosine to compute cos(20) given cos( os(0) = where 0 <0<. 79 90

A: Given.

Q: If cos(0) and 0 is in the 4th quadrant, find the exact value for sin(0). 3 sin(0) =

A: Given that: cosθ=13, θ in 4th quadrant.To find sinθ