(sin? z – cos? z) an identity. sin x – sin a csc I

Q: Verify AB = BA for the matrices below.

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Q: -p² sin(w) cos?(w) – p cos² (») -p2 sin(4).

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Q: sin e+ cos e cot 8.

A: The given trigonometric expression is sinθ+cosθcotθ

Q: sin(a + b) cos(a + b)

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Q: sin o 2. Evaluate the integral. cos ¢ A. cot? o +c B. tan? +c c. cot? ¢ +c D. tan? o +c

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Q: cos 2r + sin? r cos z 30. When simplified, is equal to: sin a cos a Csc a O cot r

A: cos(2x) = cos2 (x) - sin2 (x)

Q: Complete the identity. sin x coS X :? sin x cos X O A. sin xtan x O B. 1+ cot x OC. - 2tan x O D.…

A: Given

Q: Establish the identity. sin? 0 + cos 0 = sec 0 cos e

A: 1/cosθ=sec θ

Q: 3 cos A +2 sin A 3 tan A +2 cot A

A: Given : 8cosecA=17 . then we have to find the value of 3cosA+2sinA3tanA+2cotA

Q: What must be the value of A so that cos(x + y) – cos(x – y) = A sin æ sin y? O 1/2 O -1/2 O -2 O no…

A: Using the formulas of cos(x+y) and cos(x-y)

Q: sin a =2 and cosec a = Cos a = and sec a = %3D tan a = and cot a = = %3D LIA た一〇

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Q: If tan? t – sin? t: sin“ t then coso t the positive power a = the positive power b =

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Q: sin z If sin a+cos r tan z A+tan r ;, what is the value of 2.A?? O 0.5 no correct answer O 2

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Q: A) Prove the identity Sin (A + B) + Sin (A - B) = 2SinA cosB

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Q: 5. Which equation is an identity? cos 0 tan 0 = sin 6 (A) (B) sin 0+ cos 0= 1 (C) 1 sec 0 = (D)…

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Q: 5(cos? z-1) sin z Cos I sin I

A: According to the trigonometric pythagorean identity, sin2x+cos2x=1 or cos2x-1=-sin2x or…

Q: If Sin A = where "< A < 1,Sin B = 5 where 0 < B<: 2 13 then find Tan (A+B), Cos(A-B)

A: Given that sinA = 4/5 where (π/2) &lt; A&lt; π  and  SinB= 5/13 where 0&lt; B&lt;( π /2) We have to…

Q: A C In right triangle ABC , mZB7 m2C. Let sin B =r and cos B = s. What is sin C - cos C? A) S – T

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Q: (a ±B) = cosa cos B+ sin a sin ß

A: We will prove this by this below method.

Q: sin? 0 2) cos 0 = sec 0- cos e %3D

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Q: A C In right triangle ABC, m Z B+m Z C. Let sin B =r and cos B = S. What is sin C- cos C? O Ar+s O…

A: To find the sinC-cosC

Q: sinødø The is equal to cos*Ø tan30 А. +C 3 sec³ø В.- + C sin³Ø C.- +C 3 cos³Ø D. +C 3 E.None of the…

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Q: sin B cos B tan B os2 B - sin? B 1- tan? B

A: To prove this identitysinB cosBcos2B-sin2B=tanB1-tan2B

Q: sin(h) dh 1+cos? (h)

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Q: 12. sin(a+B) = Sin A Cos 3 SinBlosA 11. 3.

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Q: 2 sin a 6. cos?a tan a = sec a+cos a+sin²a sec a

A: To verify trigonometric identity  cos2a tan a = 2 sin a sec a + cos a + sin2a sec a

Q: 1-sin e 5. r2 cos e dr de

A: According to question∫0π∫01-sinθr2 cosθ dr dθ

Q: #12 Find tan (A + B). 15 cosA 17 4 sin B = A < T O < B <- < 2

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Q: (a) sin (cos 7) (b) tan (sin z) (c) sin cos

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Q: cos A+1 cSc A %3D sin' A 3 1-cos A

A: Consider the given identity, cosA+1sin3A=cscA1-cosA Cross multiply the equation,…

Q: sin e Establish the identity: csce - cot e = %3D 1+ cos 0,

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Q: Cos A +1+ sin A 2 sec A 1+ sin A %3D cos A

A: To Prove: cosA1+sinA+1+sinAcosA=2secA

Q: cosec A/sec A = ? Select one: O a. sin A + cos A O b. tan A O C. cot A O d. cos A

A: Select one

Q: sin o 2. Evaluate the integral. dø cos? ¢ A. cot² ¢ +c B. tan? o +c c. cot? ¢ +c D. tan? o + c

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Q: Using the identity, sinh y cosh y + i cos? x + sinh? y sin x cos x tan(x + iy) : cos² x + sinh² Y…

A: Given that, tanx+iy=sinxcoscos2x+sinh2y+isinhycoshycos2x+sinh2y Now,…

Q: (a) 2(cos +i sin 플) (b) 3(cos + i sin E)

A: Solve for part (a), as follows: 2cosπ8+isinπ8=2122+2+i.122-2=2+2+i2-2=1.847759+0.765366i

Q: sin? 0 + cos? 0 sin 20 OP- 10.

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Q: cos(A+B) sec(A – B) %3D cos² A-sin? B

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Q: If you divide the Pythagorean Theorem o2 + a2 = h2 by adjacent squared, you get: O You cannot. O…

A: Given the Pythagorean theorm  O^2  + a^2 = h^2 Dividing this by adjacent square

Q: sin(e + n) forms an identity w following? [A] sin0 [B] cos 0 [C] – sin 0

A: I have provided solution in step2

Q: Sin A + Sin B = a and cosA+ Cos B = b %3D then. CoS A-B + Ja?-b? show that- 1) 2. 2.

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Q: Sin B = 17 Cos N = Tan B = 15 CO

A: Since you have asked multiple questions in a single request, we would be answering only first…

Q: cos a-sin a sec a csc a–2 tan a 8. cos a+sin a sin a cos a

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Q: 6. sin A = cos A tan A

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Q: cos?e 5.- = 1 + sin0. %3D '1-sin0

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Q: sec? Show that sec x cosec x = sec x 2 a tan x TC b Hence, or otherwise, find the exact value of…

A: First we will show that statement given in part a is correct then using the statements in part a we…

Q: If (cos* a/cos? B) + (sin“ a/ sin B) = 1, then prove that (cos* B/ cos? a) + (sin? B/ sin? a) = 1 2

A: Given: cos4αcos2β+sin4αsin2β=1 To prove that  cos4βcos2α+sin2βsin2α=1

Q: (a) Use the formulas for cos(A+ B) and  cos(A - B)toshow that sin A sin B =1/2 [cos(A - B) - cos(A +…

A: a We have use the formula of cosA+B and cosA-B to show that sin A sin B=12cosA-B-cosA+B b Now using…