Prove that the following identity is true. (tan ? + cot ?)2 = sec2 ? + csc2 ?

Q: Is the following indentity true? (cot (0)+tan(0))² = sec² (0)+csc²(ø)

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Q: Which expression is equal to tan cot sec t COS e using identities? O sin z COS E O 1 O-1

A: We have to check

Q: What is the given trigonometric expression equal to? 1- tan? 0 +1 1+ tan² 0 O a. cos? e b. cot? 0 2…

A: Solve the given expression

Q: Prove the trigonometric equation below is an identity sin x cot x = csc x = Csc 1-cos x

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Q: Use fundamental identities to write the first expression in terms of the second, for any acute angle…

A: To write tanθ in terms of secθ using the fundamental identities. Solution: We have identity,…

Q: Verify the ff. identities: cot 0 – sin 0 sec 0 6. - cos? 0 – sin? 0 %3| - sec 0 csc 6

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Q: 3. Use the Unit circle and basic reciprocal and quotient identities to find sin T, cOS TT , tan T ,…

A: tan x= sin x/cos x sec x=1/cos x csc x =1/ sin x cot x=1/tan x

Q: In which quadrants is tan(6) positive? (Select all that apply.) O Quadrant I OQuadrant II O Quadrant…

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Q: Verify the identity: cot? 0 = 1-cos² 0 sec² 0+cos² 0 sin? 0

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Q: ind the exact values below. If applicable, click on "Undefined." ロ后 元 sin 3 %3D Undefined sec…

A: we have to find the following

Q: Determine whether the statement is true or false. Justify your answer.  a. In ΔABC with right angle…

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Q: Show that (tan A)“ -(sin A)´ =(tan A)ʻ (sin A)´ is an identity. Use the triangle below. B, a A

A: We have to show that tan A2-sin A2=tan A2 sin A2 is an identity by using given triangle:  Here…

Q: To prove the following Pythagorean identities, start with the first Pythagorean identity, sin (6) +…

A: We know that, sin2θ+cos2θ=1                   ⋯⋯1sin2θcos2θ=tan2θ           ⋯⋯2cos2θsin2θ=cot2θ…

Q: Verify the identity by working the right side: sin? (플) csc2 -cot? z 2 csc2 x+2 csc x cot x

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Q: 1. What is the value of Sin 3? 4 TT 2. What is the value of Tan 3

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Q: tan 6a sec 3a = 2 sin 3a sec 6a Proof:

A: giventan(6a)sec(3a)=2sin(3a)sec(6a)consider L.H.S.=tan(6a)sec(3a)we know…

Q: The right triangle below satisfies 0 cos(B) tan(0) = tan(B) sin(ß) < tan(ß) D sin(B) < cos(0) a O E…

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Q: What is the exact value of cos(2u) if cot (u) = where sin(u) <0? 12 (A 37 35 B 37 12 37 35 37

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Q: Select the correct steps to complete the proof of the identity. cot x – tan x = 2 cot (2x)

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Q: CSc 0+1 1+sin 6 %3D csc0-1 1-sin 0

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Q: practice question, I attached a photo

A: Consider the given values of sin(θ) and cos(θ) as

Q: Establish each identity given in attachment.

A: To prove the identity, tan2θcos2θ+cot2θsin2θ=1

Q: Verify the identity. (cscx- cotx) (csex + cot.x)? = 1

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Q: 10. Verify the Identity: sin O sec 0 = cos 0- cos 20. Are there any angles for which the identity…

A: Question 10,Given,          sinθsecθtanθ+cotθ=cos2θ-cos2θ

Q: 3. cos?= -1/3 and ? is not in QII sin? = tan ? = cot? = sec? = csc? =

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Q: Use the fundamental identities to simplify the expression. There is more than one correct form of…

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Q: 19. Simplify the expression tan æ+cot æ cot r - sec? x sec? x O - tan? æ tan? x

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Q: Use de Moivre's theorem to test the correctness of the following trigonometric identity: sin° (5e)…

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Q: Which of the following trigonometric identity will be derived using tane=y/x and cote=x/y?

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Q: Establish each identity given in attachment.

A: As value of cosθ and sinθ revolves around +1 to -1 , they take different values depending on the…

Q: For an angle x, sin(x) = 6/13. Find the following: %3D cos(x) = %3D tan(x) = csc(x) = %3D sec(x) =…

A: This question is based on trigonometric ratio's. Sin(x) = perpendicular/hypotenuse

Q: What basic trigonometric identity would you use to verify that sin*x+ cos?x secx? cosx 1 O sinx cscx…

A: We can use here pythagorean identity to achieve the answer.

Q: According to the quotient identities, sin t/cos t =______ andcos t/sin t =______ .

A: according to the quotient identities  sin tcos t=tan t              (1)

Q: Which is NOT a trigonometric identity? O csc 0- cot0 1 O sec? 0- tan e 1 O sin? e+ cos 0-1 O sec? 0…

A: The value of sec2θ=1cos2θ and csc2θ=1cos2θ.

Q: Use half angle or power reduction formulas to fill in the blanks in the identity below: 1 (sin(7æ))*…

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Q: If cot 0 = -, and 0 is in QII, find the value of sin 0. O 3V10 10 3/10 10 V10 - 10

A: Solving the problem by finding the value of sine.

Q: A Derive the half angle identities by substituting A to to the double angle 2 identities. A a. For…

A: We know that, double angle identity for sine and cosine functions are given as cos2A=2cos2A-1…

Q: Verify the ff. identities: cot 0 – sin 0 sec 0 6. 2 cos? 0 – sin? 0 sec 0 csc 0

A: Definition used -                       cotθ =cosθsinθ ,secθ=1cosθ, cscθ=1sinθ

Q: 13. Prove the following trigonometric identity until LS = RS %3D sec20-tan?0 %3D Csc e sin20 csc 0

A: We can prove the identity as below.

Q: Verify the following trigonometric identity. cot(z) + tan(z) sec(r) csc(z)

A: Consider the given identity. cotx+tanxsecx=cscx

Q: Which of the following is 2 equivalent to tan x + cot x where x = -? 2 sin 0 2 sin 0 Option 1 Option…

A: We have to find the equivalent trigonometric ratio to 2/(tanx +cotx)  When x=θ/2

Q: NTS: csc a sec 2a = cot a-1 Proof:

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Q: a - b? If cos 0= , express sin 0, cot 0, sec 0 and cosec 0, in terms of a and b.

A: Solution is done in step 2

Q: If cot 0 0 O csc 0 0

A: sinθ=1cosecθcotθ=cosθsinθ

Q: cos(a –b) = tan a + cot b %D cos a sin b

A: Given that

Q: sin'e sec2 0 = sec? 0 -1 %3D

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Q: Use the appropriate reciprocal identity to find the exact value of tan 0 for the given value of cot…

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Q: Find the remaining trig functions of (theta) based on the given information    I attached a picture…

A: cos theta= base/ hypotenuse. So let base= -56 and hypotenuse = 65