16. Complete the following table of signs: ө sin 0 cos e tan 0 cot 0 sec 0 csc e 0 < 0 <

Q: Find cos 0 if cot 0 =4/3 and sin 0 &lt; 0.

A: Also given that sinθ&lt;0, this means sinθ is negative. So, cotθ=cosθ/sinθ means cosθ also have to…

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: What is csca if sec a = -4/3 and tana < 0?

A: What is csca if seca=-43 and tana&lt;0?

Q: If cos x = - 47 and 7 7/2 s ≤x≤, find the exact value of sin(x).

A:

Q: 3. Draw the graphs of: y = 2 sin (2x) y = 3 cos (.5x) a.) b.) c.) y = tan(2x)

A: (a) Sketch the graph as shown below.

Q: cos x = 8/17, 3pi/2<x<2pi. Find cot x

A: cosx=817=BHthrefore by using right angle triangle and Pythagoras theoremH2=B2+P2172=82+P2P=225P=15

Q: 8. Which is the exact value of tan 75° using sum of tangent ? A. V2 + 3 B. 2 + V3 C. V2 + V3 D. V2 +…

A: Consider an expression: tan 75°……1

Q: epresent 3 sin x + 6 cos x in a form A sin(x + p), use radians for p.

A:

Q: if g- Sin (cos 8x) Find y NP

A:

Q: Verify the following identities: 1. tan y csc y 2. 3. tan x sec x = sec y cos y sin x cot x sec x…

A:

Q: Verify the identity sin 2t - tan t = tan t cos 2t.

A: Given:sin2t-tant=tant cos2tTrigonometry formula:sin2t=2sint costtant=sintcostcos2t=cos2t-sin2t

Q: dz (sin x) Select one: O a. cos x. O b. sin x. Oc. - cos x. d. – sin x.

A: We have to find the derivative

Q: 21 Prove the identity.cos x (1 ²x) 2 2. - sin sec X,

A: Consider the given identity cos2x1-sec2x=-sin2x.

Q: 2. State as a single trigonometric function, then state the period: y= cos 5xcosx+sin 5xsin x

A:

Q: FTi csc x = 4,90° < x < 180°, then %3D sin cos %3D tan %3D II II

A:

Q: 8. Simplify: A. COS X B. sec x COS X sin x+1 + tan x C. D. cot X tan X

A:

Q: 22. Use trig identities to simplify the following expressions: 22a. cot θ csc θ, 22b. csc(α) cos(α)…

A:

Q: 3 [cot 0- sec 0- sin 0 O 1 -3 O 3 O 6

A: