Question 3 Differentiate 5* sec(e*) (A 5* sec (e*) [e*tan (e") – In 5] B 5X In 5 sec (e) [tan (e) + 1] (c) 5* ex sec (e*) [tan (e") + In 5] D 5* sec (e*) [e*tan (e") + In 5]

Q: 1 in tan 3 +coS -1

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Q: Show that Sinx+sin3x+sin5x/cosx+cos3x+cos5x=tan3x For all x for which tan 3x is dedined. Does this…

A: given that                      sinx+sin3x+sin5xcosx+cos3x+cox5x=tan3x and we have to proof…

Q: Find sin(x/2), cos (x/2) and tan(x/2) from the given information  sin(x) = 8/17 , 0° < x < 90°…

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Q: 7) (section 6.2) Find the exact value of 11T sin) + cos() + tan(2> + sec( 4 6.

A:

Q: One, Two, Three (a) Show that tan(tan-1 1 + tan-1 2 + tan-1 3) = 0. (b) Conclude from part (a) that…

A: a). tantan-11+tan-12+tan-13=tantan-11+21-1·2+tan-13…

Q: 11.) cos os (sin-1 -tan-1%) 12.) tan (arccos %- arcsin (-12/13))

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Q: Show that (tan- x) = cos2(tan-1x) and then use Figure 8 to prove that (tan- x) = (x² + 1)-1. V1+x? y…

A: Given:

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: 7.6, #1 Find the exact value of the expression whenever it is defined. sin (-)= %3D b. tan-(-V3) =…

A: As per bartleby guidelines we are allowed to answer only one question at a time.So kindly repost…

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( –…

A:

Q: 1) tane = 2.6 2) cos0 = -0.65 3) csc(-0) = - 2 tan(-0) = cos(-0) = csce = 6. 4) sec(-0) = 3 &…

A:

Q: If Z- tan () then Show that

A: According to question, z = tan-1yx

Q: Chapter 6, Section 6.3, Question 012 Use the Fundamental Theorem to evaluate the definite integral…

A: Given,

Q: tan (0) +1 1) sec(e) = sec(0) cos(@) +1 2) tan (0) cos(@) sec(@)-1

A: See the details solution in below

Q: Prove tan-1z =

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Q: Suppose: sin(x) = -0.6638 cos(x) = 0.7479 tan(x) = -0.8875 Then, sin(-x) = 0.6638 cos(-x) 0.7479…

A:

Q: snip

A: a) tantan-11+tan-12+tan-13=0b) tan-11+tan-12+tan-13=π

Q: Prove Cos2x=1-tan^2x/1+tan^2x

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Q: 2, 2. prove that tan¯0+cot-0+2= sec´0cosec´0

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

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Q: The function f(x)= sec(x) is periodic with period 21 Select one: True O False

A: The interval for which a graph completes its one cycle is called the period of the function.  For…

Q: 1. If tan z = - 0.5 then tan( – æ) - 2. If sin z = 0.5 then sin( – æ) = 3. If cos a = 0.2 then cos(…

A:

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: 5. tant x + tan2 x = tan? x sec2 x

A:

Q: Show that (tan−1 x)'= cos2(tan−1 x) and then use Figure to prove that (tan−1 x)' = (x2 + 1) −1.

A: The objective is to show that:  tan-1x'=cos2tan-1x.   Use the formula: ddxf-1x=1f'f-1x. Here,…

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: tan x = 2 then what does tan(-x)=? if sin x = 0.5 then what does sin(-x)=? if cos x = 0.4 then…

A: We have to find the value

Q: Find sin(x/2) =  cos (x/2) = tan(x/2) =   from the given information. sin(x) = 24/25,   0° < x <…

A: Question: Find sin(x/2) =  cos (x/2) = tan(x/2) =   from the given information. sin(x) = 24/25,…

Q: Use the result of Example 7 to compute arctan 0.2 correct to five decimal places.

A: Given that: arctan0.2

Q: Show that (tan- x)' = cos²(tan¬1 x) and then use Figure 8 to prove that (tan-1 x)' = (x² + 1)-1.…

A: Consider the given figure.

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)=…

A:

Q: 1. If tan x = -3.5 then tan(-x) = %3D 2. If sin x = 0.8 then sin(-r) = 3. If cos 0.6 then cos( r) =…

A: We know that  sin(-x) = -sinx cos(-x) = cosx tan(-x) = -tanx cot(-x) = -cotx sec(-x) = secx…

Q: then tan 0 is equal to If tan 4. %3D 3

A:

Q: 1. If tan a = - 3.5 then tan( – 2) = 2. If sin æ = 0.4 then sin( – æ) = 3. If cos x = 0.9 then cos(…

A: 1.  tan is negative in 4th quadrant tan(-x)=-tanx= 3.5 2. sin is negative in 4th quadrant…

Q: Verify the identity. 2 tan(x) 1 + tan2(x) 2 tan(x) sec2(x) sin(2x) 2 tan(x) 1 + tan?(x) 2 sin(x) .…

A: The prove that  (2tanx)/(1+ tan2x) = sin2x

Q: Show that : %3D tan 0 tan (0 + 60°) + tan 0 tan (0- 60°) + tan (0 + 60°) tan (0 – 60°) = – 3.

A: Solution is given: Hope the answer is helpful.

Q: = arctonx In 1-x

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Q: sin + 4 4 can be expanded to: sin sin 4 4 cos cos 4 o sin - cos 4 sin 4 sin 4 o cos -sin 4 + cos 4…

A: Solve the following

Q: Prove そ Cose tiSina -(1- tan@)

A: We will use trigonometric identities of sub-multiple angles to evaluate. And also, we will multiply…

Q: 1+ sin 0 1- sin 6 Prove that (tan 0+ sec 0)2 Do NOT start your proof by assuming the conclusion.

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Q: Verify the identity. 9 cos(sin ¹ x) = √81 - 81x² = 8 = x = . Thus, Let 8 = sin-¹ x = sin 8 = x 9…

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Q: [((1-tan^2(x))/sec^2(x)]= cos(2x)

A: To prove that  [((1-tan^2(x))/sec^2(x)]= cos(2x)

Q: Chapter 6, Section 6.3, Question 009 Use the Fundamental Theorem to evaluate the definite integral…

A: Consider the given integral.

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: The period of a sinusoidal function is greater than 360° but less than 720°. What restrictions does…

A: State the relation between period and k in the sinusoidal function, then we can easily find the…

Q: Show that 1 1. sec-1 x = cos-1 x = cos-1 1-x 2. cos-1x = tan-1 1+x Find the exact value 1.cos[sin-1-…

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Q: Verify the identity.  (1 − (cos x)2)(sec x)2 = (tan x)2   (1 − (cos x)2)(sec x)2 = (_______)/(cos…

A: We can use trigonometrical identity in order to solve the given problem.

Q: how can 2sin(2β)cos(4β) be expressed as a sum?

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Q: Show that:- tan-1 x + tan-1 y = tan-1 x+y 1-ху

A: We need to show the following identity tan-1x + tan-1y = tan-1x+y1-xy