1 + sec'2 V Simplify sin cos -1 -1 3.

Q: Sinxtsina3x COSX+ COS 32 tan 22

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Q: sin 20 5) Verify tan 0 %3D 1+cos 20

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Q: (tan® – sin®)²+(1 – cos®)²= (1 – sec0)²

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Q: Verify the identity : 1-cosx sinx = 2 csc x sinx 1– COsx 2.

A: Given- 1-cosxsinx+sinx1-cosx=2cscx To verify- The above identity. Identity Used- sin2x=1-cos2x

Q: Show that sin-1 v + cos-1 v = π/2 .

A: Given: sin-1 v+cos-1 v=π2

Q: find the exact value sinx=1/4, 0<x<pi/2, find x/2

A: Given:Given that,sin(x)=14 where 0&lt;x&lt;π2To find:1) we have to find the value of x2)…

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: Find the exact value sin[sin^-1(-4/5)-tan^-1(3/4)]

A: Use relation between sin-1 and tan-1   The expression is re written as,

Q: 15 If tan 0 :-: sin 6 < 0. Determine sec 6.

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Q: simplify sin 2x/1-cosx   Not sin^2x its sin2x

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Q: Sec (Cosx) dydx 1- Sin

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

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

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Q: Simplify. sin 2x · cos 3x – cos 2x · sin 3x

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Q: What is the exact value of sin4)-sec(-) -4+/2 A 2 4-/7 B -4-/7 2 4+/7 2

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Q: The simplified form of [csc(-x) +cos(-x)] - [10 sin² r sec²z]

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Q: cotx (1- cos 2x) = sin 2x

A: Formulae used: 2sinx cosx = sin2x cotx = cosxsinx cos2x = 1-sin2x

Q: What vaule of 0 = sin (0/3 - 10)

A: that is equal to 0=sin(0-10) than 0=sin(-10) such that -10=sin^-1(0) that is equal to zero

Q: 10) cos sec-¹ 2√√3 3

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

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Q: tan x + sin x Express in terms of cosine cSC x + cotx only

A: Given expression: tan x+sin xcsc x+cot x

Q: 1-cosx sinx

A: Using Trigonometry property,

Q: Prove + cosß)* +(sina + sinß) = 4cos² a - B) %3D

A:

Q: cscxdx 5+ cos²x sin²x

A: Evaluate: I=∫csc2x5+cos2xsin2xdx We know that, cos xsin x=cot x Then, we have I=∫csc2x5+cot2xdx

Q: How many solutions on the interval [0, 2020π] does the equation 1/2 sin2x + 1 = sinx + cosx have?

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

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Q: 2. A 45° sin 45° = - Cos 45° = - tan 45° = -- CSC 45° = - sec 45° =- cot 45° =

A: We have to find value of all trigonometric Ratio at 45°

Q: 2 sin 510°- cos 340° cos(-20°) | (8) cos 110°

A: I am going to solve the given problem by using some simple trigonometric values to get the required…

Q: Calculate the value of expression: sin- cos--2· cos- • tan 5 2

A: Explanation of the answer is as follows

Q: Verify: 1. (sinx – cosx)² – 1 = -sin2x %3D

A: We can verify the statement as below

Q: 2) Explain why sin(@) = cos(90 - 0). %3D

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

A: Explanation of the answer is as follows

Q: 1 1. sec-1 x = cos-1 = cos

A: we have to show that the given relation.

Q: cos 2x sin2x Cotx

A: Solution: The objective is to find the value of the given expression

Q: 1- (sin (Cos(2x)+Cos (sinc2x)

A: Given derivative

Q: 8. If sin x- cos x = 3, find sin x sec x

A: given: sinx-cosx=13 to find: sinxsecx

Q: how do I further simplify  cos θ sin θ / sin θ - 1

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

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

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

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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)

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Q: solve, sin(4x)cos(6x)-cos(4x)sin(6x)=-0.35 x=??

A: solve, sin(4x)cos(6x)-cos(4x)sin(6x)=-0.35

Q: sin³ 4z cos° 4zdz

A: Here we have to integrate the given integral.

Q: Prove Sine tan 2. 1+ cose

A: Using the double angle identities we get

Q: tan 0+ sece- 1_ 1+ sin0 cos 0 Show that tan0-sec0+1

A: Given the trigonometric equation (identity) is: tanθ+secθ-1tanθ-secθ+1=1+sinθcosθ To show that, the…

Q: quat sin-'(2x) + cos-'(3x) = 3

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Q: Verify the identity sin2 θ/2 = (sec θ - 1)/2 sec θ

A: