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

Q: sin 2x Verify 1+ cos 2x = tan x.

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Q: cos 0 by 1 - sin 0 1 + sin 0 1 + sin 0 Multiply

A: Consider the given expressions. cosθ1-sinθ and 1+sinθ1+sinθ The algebraic formula is defined as.…

Q: Is sin-1 x the same thing as1/sin x?

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Q: cos x Prove: tan x = sec x. To receive full credit, you must show all steps. - 1-sin x

A: To prove,           cos x1-sin x - tan x = sec x.

Q: Differentiate  sin(3x+5)

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Q: Find the value  (1-sin2x)sec2x=1

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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: 6. sec (sin-1 x)

A: Interconversion

Q: (A) Evaluate Sin (3x) Sin (3x) dx

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Q: Let cos x = 1/3+z and cos x lies below then x-axis. Find sin(2x), cos(2x) and tan(2x).

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Q: Simplify: cosx sec x – cos² x O cos² x sec x sin x

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Q: Find tan(x) and sin(x) if sec(x)=3 and cos(x) >0

A: It is given that,  sec(x)=3 and cos(x)&gt;0 we have to find ,  tan(x), sin(x)

Q: Sec (Cosx) dydx 1- Sin

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Q: sin(8x)cos(4x)+cos(8x)sin(4x)

A: We will find the value of the given trigonometric expression in the following step.

Q: Prove the identity. sin x+ 2. = cotx sin (n-x)

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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: Express sin6 Oin terms of powers of sin Oonly

A: We have given,  sin6θ we have to express it in the term of sin only.

Q: $66)= Sinx+ Cos>x.

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Q: value of cos x is given. Find sin x and 3T xET, 15 X= 17'

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Q: a) sin ) co () - c) tan 4) cot (- *) - ) me (- *) - sec

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Q: Find sin x if sin x – cos x x = 3 sec x

A: Consider the given trigonometric expression, sinx-cosx=13 now square both side of the equation,…

Q: cos(4x) cos(2x) sin(4x) sec(2x) 12. Verify: - sin(2x)

A: cos(2x ) =cos2(x)-sin2(x) = 2cos2(x)-1 =1-2sin2(x) sin(2x) = 2sin(x) cos(x)

Q: Verify the identity.   1 + sin x 1 − sin x  −  1 − sin x 1 + sin x  = 4 sec x tan x

A: The given identity is,

Q: Solve for the values of sin2x, cos2x and tan2x when tanx = 1, on 0≤x≤

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Q: sec x Verify that = sin x %3D tan xcsc x Simplify the left side to get the right.

A: To verify the given , identity.

Q: Prove the identity. sin(-0) sec(-0) cot(-0) = 1

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Q: 11. sin(2 tan-1 (-) 3,

A: A trigonometric ratios sin, cos, tan can take the input in the unit of degree or radians. The…

Q: Select the best answer. sin x 1+ cosx + sin x 1+ cosx

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Q: Find x where 0 ≤ x ≤ 2π. 4 cot²x = cos²x + sin²x - 1

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

A: Authoring guidelines:…

Q: Evaluate: lime 1-sin 0+cos 0 sin 20-cos 0

A: The objective is to evaluate the limit.

Q: Find sin X os X

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Q: Find all values of x in the interval [0, 2 pi) that solve sinx cot^2x-sinx=0

A: Please see the explanation below

Q: Verify the identity 1- sin x (sec x- tan x)2 = %3D 1+sin x

A: secx-tanx2=1cosx-sinxcosx2=1-sinxcosx2=1-sinx2cos2x=1-sinx21-sin2x…

Q: rove the identity. sin(3x)/sin(x)cos(x)=4cos(x)-sec(x)

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Q: sin 3x cos“ 3xdx

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

A: Explanation of the answer is as follows

Q: If cos x = 2/3 Find sin x and tan 2x

A: To find: The value of sin x and tan 2x. Given: The value of cos x is 23. Concept used: Trigonometric…

Q: Verify the identity : sin(x + π)/cos (x + 3π/2) = tan2 x - sec2 x

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Q: If tanx=-1/3 then cosx>0 Find Sin2x,cos2x and tan2x

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Q: Verify the identity: cos x/(1 - sin x) + (1 - sin x)/cos x = 2 sec x

A: The given identity is cosx1-sinx+1-sinxcosx=2secx

Q: Prove the identity. TC sin +x+ 2. cotx sin (n-x)

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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 exact function values for: a. sin(α/2) b. cos(α/2) c. tan (α/2) cosα = 12/13, (3π)/2 < α <…

A: The given trigonometric ratio is cosα=1213 ,where3π2&lt;α&lt;2π (a) To find the value of sinα2…

Q: Find sin 0 and tan 0 if the terminal side of 0 lies along the line y = -7x in QII. sin 0 = tan 0:

A: Given that terminal side of ϑ lies along the line y = -7x. Note that the slope of the line y = -7x…

Q: Verify: cos x+4 cos x+4 2 sec x+1 %D cos x+2 sec x

A: Given,  cos2x+4cosx+4cosx+2= 2secx+1secx  We have to verify relationship.

Q: Determine the amplitude of y = - 1/2 sin x. Then graph y = sin x and y = - 1/2sin x for -π ≤ x ≤ 3π.

A: We have to graph the following functions y=sin x y=-12sin x   We have to find the amplitude of…