-(sin^2 θ + cos^2 θ)

Q: Find the exact value of sin(-5π/8). Show work

A:

Q: i) Sin 20easoal-Sin?

A: Use the trigonometric identities,…

Q: Verify that (sinx-cosx)2=1-sin(2x)

A:

Q: Prove the identity. sinx 1. cotx 1-cosx sinx

A: 1 - sin2x = cos2x

Q: cosx+sinx=cos(2x)  Prove that tanx=-1

A:

Q: Sine coixdx 5/2

A: We need to integrate∫sin52xcos2x dx

Q: csc(sec-1 2) + cos(tan-(-v3).

A: Given data:     The expression for the given function is: csc(sec-12)+cos(tan-1(-31⁄2).   The given…

Q: sin( sec (x/10)) = %3D

A: The expression is sin(sec-1x/10)

Q: Find the smallest positive angle x in degree 1) cosx = -1/2 2) sinx = -1/2 3) tanx = -√3 4) Cscx =…

A:

Q: Cosx 1+sinx 11. 1+sinx 2secx Cosx

A:

Q: If tan x = 3, cos x > 0, , then - sin 2x cos 2x tan 2x %3D

A:

Q: If tanx = (a/b) find the value of (cosx+sinx)/(cosx-sinx)

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Q: Sin3xdx

A: Given, ∫0π3sin3xdx

Q: Sinx=1/3 Cosx=?

A:

Q: If sinX = -1/3 and cosX is positive, determine the exact value of cotX.

A: We know, cosx= ±√(1-sin2x) cotx= cosx/sinx

Q: Verify identity tan2 2x + sin2 2x + cos2 2x = sec2 2x.

A: To verify: tan2 2x + sin2 2x + cos2 2x = sec2 2x WKT cos2x+sin2x=1 x refers to any number, Replace x…

Q: Find exact value: sin(cot-'(8))

A: Sin (cot-1 8)  = ?  Let cot -1 8  = θ So we have to find sin θ

Q: explain why sin(0)=cos(90-0)

A:

Q: COs 2x cotx x – tanx %3D sinx · cOsx

A:

Q: If cosx = -2/3 and tanx < 0, then sin(x)= tan(x)=

A:

Q: Is Cscx-1/1-Sinx=cscx

A:

Q: 9. (1 - sinx)(1 + sinx) cotx

A: Question 9

Q: 1-cosx sinx

A: Using Trigonometry property,

Q: tanx+secx-1 1+sinx tanx-secxx+1 cosx

A: We have prove trigonometric identities tanx+secx-1tanx-secx+1=1+sinxcosx Left hand side:…

Q: COSX cosx 10. 1-sinx 1+sinx

A:

Q: integrate sin2x/sin5x.sin3x

A: To integrate: ∫sin2xsin5xsin3xdx Solution: We know, sin(A-B)=sinAcosB-cosAsinB    ...(1)…

Q: tan + cosxtan sinx %3D

A: SOME TRIGONOMETRY FORMULAS: 1.)cos2x= cos2x- sin2x2.) cos(2x)= 2cos2x-13.)cos(2x)=…

Q: Show that sin³ +cos³0 sin + cos 2-sin 20 2

A: Here we use the formula of (a+b)^3 .

Q: sin 5a - sin 2a ]sinO OcosO olo

A:

Q: 1. Find tanx and sinx if secx = 4 and sinx < 0

A: Authoring guidelines:…

Q: Find sec2x if sin x = 6/10 and sec x < 0

A:

Q: Find sin ⍬.  Sec ⍬ = 3/2, tan ⍬ &lt; 0

A: The given equation is

Q: 1. arcsin (1/2) 2. cos- (-V3/2) 3. cot- (V3/3)

A:

Q: ∫sin3xdx

A: we know that the ∫sinxdx=-cosx∫sin3xdx=-cos3x3+Cwhere C is a arbitary constant and we always put…

Q: [1] sin3x Asinx – Bsin³x, find A and B. -

A: Explanation of the answer is as follows

Q: Prove that: (sinA-cosA+1)÷(sinA+cosA-1)=1÷(secA-tanA)

A: To prove: sinA-cosA+1÷sinA+cosA-1=1÷secA-tanA

Q: Verify identity (sin θ - cos θ)/sin θ+(cos θ - sin θ)/cos θ= 2 - sec θ csc θ.

A: Given identity is sinθ-cosθsinθ+cosθ-sinθcosθ=2-secθcosecθ.

Q: find cot [sin^-1(-2/5)]

A:

Q: sin(2x) Computedx.

A:

Q: 1-SinX ト

A:

Q: Verify identity cot2 2x + cos2 2x + sin2 2x = csc2 2x.

A:

Q: Prove that = tan 0 + cot 0 (cosec 0-sin 6)(sec 0-cos 0)

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Q: Verify the identity -1 sin'0+2cos0-1 1 2 sin 0+3cos0-3 1-sece

A: We have to prove that sin2θ+2cosθ-1sin2θ+3cosθ-3 = 11-secθ We will using the following property to…

Q: Find the indicated number (i) sec-(-2v3/3) (ii) cos(sin-12+ sec-1 3)

A:

Q: Verify identity: sinx/1+tanx=cosx/1+cotx

A: To prove sinx/1+tanx=cosx/1+cotx.The given equation is,

Q: Prove Sine tan 2. 1+ cose

A: Using the double angle identities we get

Q: What is the greatest possible value for the product of 2-sinx and 3 + cos5x

A: (2-sin(x))(3 + cos(5x)) =6-3sin(x)+2cos(5x)-sin(x)cos(5x)

Q: please show all steps of how to verify identity  (1-cosx)/(sinx)   +   (sinx)/(1-cosx)  = 2cscx

A:

Q: sin2 (5) : O cos2 () csc2 ( ) O csc2 ( 4) O cos2 ( 4)

A: