A + sin x If (tan x + sec x)? then B – sin x A = B =

Q: tan? x sec² x + secx Prove -cos x

A:

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: cos x-cos(5x) Prove identity: tan(2x) sin x+sin(5x)

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Q: If tan x = -1/3, cos x > 0,, then | sin 2x -6 cos 2x -1 tan 2x -3/4

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Q: If y = sin x, then y' = - cot x sin x - tan x sec x sec x -sin x - Cs X tan x cos X CSC X

A: Given function is y=sinx. Differentiating the given function with respect to x, we get…

Q: lim, 0 tan² (7x) cot(11x) (r+7)sinx

A: Given: It is given that the limit is limx→0tan27xcot11xx+72sin x. To find: The main aim is to find…

Q: 1. If tan x = 2 then tan( - x) : %3D 2. If sin x = 0.7 then sin( – x) 3. If cos x = 0.7 then cos( –…

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Q: sin (x) – cos²(x) Show that 1 F COS %3D CSC (x)

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Q: verify the identity: sin(x+y) + sin(x-y)         = tanx cos(x+y)+cos(x-y)

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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)>0 we have to find ,  tan(x), sin(x)

Q: tan 5X lin X→0 Sin子X

A: Given limit is  limx→0tan5xsin7x

Q: Prove sin?x tan²x – cos?x = sec²x - 2

A: To prove : sin2x tan2x - cos2x = sec2x - 2

Q: sin x - cos x = 1/5, what is (sin x) (cos x) equivalent to?

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Q: 2- tana 1. If Sin(x+ a)= 2Cos(x-a); prove that: tan x = 1-2 tana 2 If Siu

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Q: 4. Verify the identity: (sec 0 + tan 0) (sec 0 – tan 0) = 1

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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: 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: Show that (sec x) = sec x tan x. dx Note: You may assume it is known that (sin x) = cos x and :(cos…

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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: 9. Establish the identity: tan2 +1 sec x 1 = sec x LHS

A: Establish the identity

Q: 1. If tan x = -3 then tan (-x) =  2. If sin x = 0.3 then sin (-x) = 3. If cos x = 0.2 then cos (-x)…

A: Answer 1. We know that  sin(-x)=- sinx and cos(-x)= cos x  tan x= sin xcos xHence  tan (-x)= sin(-…

Q: 15. Verify the identities: a) csc x -sin x = cos x • cotx b) tan²0 1 + sece 1 - cose cose

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Q: 1. If tan x=1 then tan(−x)=    2. If sin x=0.2then sin(−x) =    3. If cos x=0.6 then cos(−x)=…

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Q: Show that (sec x) = sec x tan x. Note: You may assume it is known that (sin x) = cos x and :(cos x)…

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Q: In(|tan(x) sin(x)|) = 2 In(|sin(x)]) + In(|sec(x)])

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Q: 2. Verify: sin x+tan x %3D sin?x sec x cSc x+cotx

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Q: Find the exact value of the expression whenever it is defined.

A: Given:a sinsin-1513- cos-1-35b cossin-145+tan-134c tancos-112- sin-1 -12

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: (1+cos.x) sin x tan x+sin x (10) %3D tan x- sin x

A: We solve this by using trigonometry identity

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

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Q: Prove tan x + cos x = sin x (sec x + cot x).

A: We have to prove the identity: tan x+cos x=sin x sec x+cot x We know the relation between…

Q: sin x cos x # 0, What is cot x =? COS X If tan x =

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Q: 1 (tan x + cot х) sec x %D 1/cosx 1/sinx 1

A: Given query is to find the correct option for the expression.

Q: Find sin(x/2) =  cos(x/2) =  tan(x/2) =  Given tan(x) = 2sqrt2    0 degrees < x< 90 degrees

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Q: sin 20 tan 0+ sin 0 Prove the identity algebraically for all permissible values of 0 and 2 cos? 0…

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Q: tan x= -4 and sin x is negative

A: Here tanx=-4we know trigonometric identity,sec2x=1+tan2xsec x=±1+tan2xsec x=±1+(-4)2sec…

Q: 2. Verify: sin x+tan x %3D sin?x sec x csc x+cotx Sink+tanx

A: We have to prove the identity

Q: If tan(x+y) tan(x-y) = 1 then find the value of tanx

A: From the given data:

Q: If tan x = -1/3, cos x > 0,, then sin 2x = ; cos 2x = tan 2x =

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

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Q: tan x sin 2x 2([ ? ]([])?

A: Given,       tan x sin 2x

Q: Prove sin 2  x/2=  tan x - sin x / 2 tan  x

A: The given identity is sin2x2=tanx-sinx2tanx

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: cosx-sin² x cot2 x· secx - 1 = sin? x

A:

Q: sin x cot x (1 – cos x Prove -- sec x | 1) Show all work to receive credit

A: We have to prove

Q: If y = Cot-1 - tan-1x, X then y'

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Q: 1- sin 0 Prove that = sec 0 - tan 0 1+ sin e

A: Square on both sides of the given relation We get