If A tanx and B = secxtanx, express sec a+ tana in terms of A and B. secr

Q: 5. tanx = sin'x %3D tanx + cotx

A: We use Trigonometry identities to solve  Question 5

Q: 4) | tan (x). sec(x) dx

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Q: sin "x cos“x dx cos²a 4.

A: We will use simple Integration technique to solve this question.

Q: Find all solutions in the interval (0, 2 secx+6 tan x = 3 opruer in radians Rour

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

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

Q: Simplify. Express in terms of tangent and/or cotangent. tan“ x+1 V cot? x+1 cotx tan 4x tanx

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Q: if cosx=tany,cosy=tanz,cosz=tanx ,then find sinx

A: Given,

Q: Find he principal valeier of the folousag (@) tanG) (6) Cos ) co tan 62) चिम्य ख

A: Given: tan-1-1, cos-112, tan-13, cos-1-12 we know that tan-1-x=-tan-1x…

Q: If arc tan x + arc tan 1/3 = π/4, find the value of x

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Q: S (sin 2x)*(cos 2x)*dx

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Q: By using substitution method, evaluate [5 tan' x sec?x dx.

A: Consider the integral  ∫5tan4xsec2xdx

Q: Prove this equation (cosx-sinx) ^2=1-2sinxcosx

A: Trigonometric formula

Q: Evaluate ∫tan4 x sec4 x dx.

A: Using the Pythagorean identity we get:

Q: 9 If tant 2 , what is tan (t – T)?

A: Given, tant=92

Q: Find sin y if sec y= (√30)/5 and tan y

A: Given,secy=305siny = ?tany = ?

Q: Evaluate tan" (32) sec"(3e) dz. sec" (Зa) da.

A: Here we integrate using substitution method.

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

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Q: express as an algebraic expression in terms of x. sin(arctan(x))

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Q: if Sec X = 2 then tanx +Cos X =

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Q: lim, 20 sin5x.cot2x = ?

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Q: show your work step by step and, Verify the identities. cosx+sinx tanx = secx

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Q: if tanx =-2 and x terminates in quadrant II.

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Q: If tant =2, what is tan (t – #)?

A: Given

Q: If sec 0 = and tan 0 < 0, find the values of the remaining trigo functions of 0.

A: 1) Given that, secθ=52 and tanθ&lt;0 Since secθ is positive and tanθ is negative that is θ lies in…

Q: if sec 0 + tan0 = x,obtain the value of sec O,tan0 and sin0

A: We can solve this as per equation by using trigonometry formulas

Q: verify the identity: tanx + secx = sinx + 1                            cosx

A: Given,

Q: establish the identity sinΘ(cotΘ +tanΘ)=secΘ

A: To prove sinΘ(cotΘ +tanΘ)=secΘ

Q: If x=2 tan θ ,express sin(2θ)as a function of x.

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Q: Plot the point (s) where tan 0 = = Clear All Draw: √√3 3

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Q: S (sin 2x)° dx

A: Given that: ∫sin2x6dx

Q: Evaluate sin (5x) dx.

A: We have to find the given integration. We will do this integration by using substitution.

Q: Find a suitable substitution for evaluating ∫tan x sec2 x dx andexplain your choice.

A: we have to integrate the following integral using a suitable substitution. ∫tanx.sec2xdx

Q: Write sec x in terms of tan x

A:

Q: simplify

A: We have to simplify  of the given expression

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

A: The given equation is

Q: Evaluate arctan(sec t). 4

A: Evaluate arctan(sec ).

Q: If tant=−4/3 and π/2 <t< π, find sint, cost, sect, csct, cott.

A: Given: tan t=-43 The value of t lies in the interval π2&lt;t&lt;π

Q: if x=3sin(theta) write theta/2 - sin(2theta)/4 in terms of X

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Q: If tanx = 3/4, what is cscx? %3D

A: Given: tanx=34 To find:  Value of cosecx Consider a triangle ABC right angled at B and measure of…

Q: & tan B give

A: We have to find

Q: Find sin(20) if sec 0 = 3/2 and tan 0 < 0. %3D

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Q: Which is the solution to the equation secx + tanx = 1, x = 0 or ↑ ?

A: A solution to an equation in x is the value of x which satisfies the equation. If the equation is…

Q: Find two values of θ, 0 ≤θ &lt;2π, that satisfy the equation tan tan θ = -√3.

A: Given:tanθ=-3

Q: Find sec 0 if tan 6 and 0 terminates in QIII. sec e = :- 4 sec e = 3 5 sec 0 = %3D sec 6 sec 0: %3D…

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Q: Write sec x in terms of sin x.

A: Using reciprocal identity we know sec x = 1/cos x

Q: If x = 4 tan(θ), find sec(θ) and sin(θ) in terms of x.

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Q: If csc(x) = 8, for 90° < x < 180°, then sin) Preview %3D cos) Preview COS %3D Preview tan 2 %3D

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Q: if sec 0 + tan0=x,obtain the value of sec 0,tan0 and sin0

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Q: Use the identities to find sinx and tanx if secx 2 and sinx < 0. %3D

A: Given that sec x = 2 and sin x &lt;0 we need to find value of sin x and tan x

Q: Let sin(0) = . Find sec(20).

A: