8 If tan 0=, T<0< find the exact value of each of the following. 5' 2 (a) sin (20) (b) cos (20) (c) sin , (d) cos 2

Q: - Use the double-angle identities to find tan(2x) if cosx = Enter an exact answer. Sain(4x) sin(1…

A:

Q: Find  sin?,cos?,???tan?sin⁡θ,cos⁡θ,andtan⁡θ  if  csc?=−2921csc⁡θ=−2921    and  cos θ < 0.

A: Given Cosecθ=2921and we have to calculate the value of sin(θ), cos(θ), tan(θ)

Q: Evaluate (a) sin-1 (b) cos-1 (-)

A: Solve the trigonometry

Q: 1. Calculate each value, and draw a version of the Most Important Diagram that demonstrates your…

A: As per the instruction, we are answering only the first 3 subparts. For (a), arccos-12=2π3 Note:

Q: 4. Find the exact value (in exact form) of sin

A: cos(2x) = 1-2sin2(x)

Q: Find sin 8. tan 0 = √2 w|n 3 cos 8>0

A: given  tanθ=-23,  cosθ&gt;0tanθ&lt;0  and  cosθ&gt;0, there for θ is in 4th quadrant

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: 2 sin (45)+ 4 cos A 3

A:

Q: f sin(theta)=4/5,0<theta<pi/2, find sin(2pi)

A: Here given  sin θ=45 where 0&lt;θ&lt;π2 Thus cos θ=1-sin2θ=1-452=1-1625=925=35

Q: 2/5 If cos a = and sin a < 0, find the exact value of cos (a +) Show the formulas you are using.

A: The trigonometric function value is given by cosα = 255 and sinα&lt;0 To evaluate : The value of…

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.