tan² x 1. Simplify: - 1+secx 2. Simplify: cot? x (sin² x) 3. Verify: sec²x cot x – cot x = tan x

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: Simplify sin-1(sin(x)) if -?/2 ≤ x ≤ ?/2. sin-1(sin(x))=

A: Simplify sin−1(sin(x))        if −π2≤ x ≤ π2

Q: Find sinθ sec⁡θ, andcot⁡θ if tanθ=16/63 sinθ= secθ= cotθ

A: Given angle is as below : tan∅=1663

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. Given: sinx= #, secx<0 Find the exact values of cos 2x and tan SHOW ALL WORK. 6. cos 2x = tan =

A:

Q: 28) Establish the identity. sin 0 (cot 0 + tan 0) = sec 0

A: We will use basic trigonometric identities mentioned whenevr they are used, to prove this.

Q: Assume that Sin θ= 4/5 where π/2<θ<π  find tanθ

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

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Q: 3) Find sin 0 if sec 0 : 8. and tan 0 < 0.

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Q: 21 and tan(0) 29 21 find sec(0). 20 If sin(0)

A: To.find - Value of sec theta.

Q: 2. cot 0= sin 0 = cos 0 = tan 8 = csc = sec 0 = 2

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Q: 2 and tan 0 < 0, then 4 If cos 0 - - sin(0) tan(0) cot(0) || sec(0) csc(0) = Give exact values.

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Q: Determine a root the equation sin X+3 OF COS x-2 = 0. Correct to four decimal places.

A:

Q: 3. Verify: sec?x cot x – cot x = tan x 1 4. Verify: = cot x tan x cscx sin x

A: TO VERIFY THE FOLLOWING EXPRESSIONS TO PROOF 3. sec2x cotx - cotx = tanx4. 1tanxcscxsinx = cotx…

Q: verify the trigonometric identity: cot x( sec x-cos x)= sinx

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Q: Complete the proof of the identity by choosing the Rule that justifies each step. (1+tan ²x) cotx =…

A: The given identity,     1+tan2xcotx=secx cscx

Q: verify the identity tan(x/2) + cot(x/2) = 2 csc x

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Q: Simplify 1- sinθtanθ/1+secθ

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Q: 1- cos 2x 1 a) sin 2x cot 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. secx- tanx = 1 sec x

A: Given,

Q: 1-cosx sinx B: Prove sinx 1+cosx 1-cosx C: Prove tan? 2 2 1+cosx

A: As per our guidelines we are supposed to answer only one or two question. Kindly repost other…

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: Find the tan x/2 = (1-cosx)/sinx under the conditions where tanx=-1/3 and cosx &gt;0. Draw a right…

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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: Show that (sec 0 - tan 0)² = 1-sin 0 1+ sin 0

A: Formula used : Sin2x + cos2x = 1 a2 - b2 = (a-b)(a+b)

Q: EVALUATE: tan(sin-'(cos(플) + sin(플)) s-'(tan(-주)) + cos

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Q: Simplify: ​​​​​​​​​​ a. cot(x)sin(x)   b. Cosx  + 2sinxcosx -  (sinx+cosx)²+1   c.…

A: Part a,          cotxsinx

Q: If sin (x) = 5/13 & cos (x) < 0, find the value of tan (x

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Q: Simplify: csc^2 θ - cot^2 θ + 2 - (sin^2 θ +cos^2 θ) + sec^2 θ - tan^2 θ  = ?

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Q: Find cot(x) and cos(x) if sin(x) =1/4 and tan(x) >0

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Q: The simplified value of * (1) - -) + cot 2 tan 2 2 csc 0 2 sec 0 Option 1 Option 2 sin 0 csc e…

A: Given, tan(θ/2)+cot(θ/2)   Formula: 1+tan2 θ = sec2 θ Sin2θ=2sinθcosθ

Q: Verify the identity: cot(-x) sin x = -cos x

A: cot(-x)=-cot(x)cot(x)=cos(x)sin(x)

Q: sin(2y) 1-cos(2y) Which trigonometric expression is equal to

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Q: Determine whether the statement is true or false. tan−1(x) = sin-1(x)/cos-1(x)

A: Given,

Q: Prove the identity 2 tan 0 tan²0 + 1 = sin(20).

A: We have to find  the proof

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: Suppose that sin 0 3 and 90°<0< 180°. %3D Find the exact values of sin and tan 2 sin - 0 %3D 2 %3D…

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Q: Verify the identity:sin 2x = 2 cot x sin2 x.

A: To verify the identity: sin2x=2cotx sin2x Verification: We know that, sin2x=2sinx cosx Simplifying…

Q: 6. Given: secx=- 4, cotx>0 Find the exact values of sin 2x and tan SHOW ALL WORK. 6. sin 2x - tan =

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Q: Given tan x = - ((6)^1/2)/2 and cos x > 0, find sec x

A: Given tan x = - ((6)^1/2)/2 and cos x &gt; 0

Q: Establish the identity. sec 0• sin 0 = tan 0

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

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Q: Verify identity cot x sec x sin x = 1.

A: Verify: cotxsecxsinx=1

Q: Complete the proof of the identity by choosing the Rule that justifies each step. 1 (1- sinx)(1+…

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