cos a 1+sin a 1-sin æ cos a = 0.

Q: Verify AB = BA for the matrices below.

A:

Q: csc A = 1 sec A = cot A = sin A cos A tan A 1 sin A = 1. tan A = Cos A = csc A sec A cot A

A: Solution: Let ABC is a right triangle and right at ∠C then In right triangle ABC, Base = AC = b…

Q: 4 cos (m) – 4 cos (m) +1 sin (m) 2 dm

A:

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

A:

Q: cos 2 cot a + sin'a. cser = csc a Steps:

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Q: sin° (ec) cos" (eF) dc COS

A:

Q: S "sin(em sin-3) dx – cos( sin-!x) + C 1-x2 A True B) False

A: SOLUTION-

Q: Establish each identity.

A: To prove the identity, cosα+βcos α cos β=1-tan α tan β.

Q: 2 sin@ cos e-13 sin e= 0 %3D

A:

Q: Solve the (r + sine – cose)dr + r(sine + cos®)de = 0. A r? + r (sine + cose) = c Br2 + 2r (sine –…

A:

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: evaluate using the suggested method.

A:

Q: tan A - sec A = sin A-1 cos A 2 sin A- cos A cos A O cos A-1 cos A

A:

Q: sin e cos (cos a cosec 0) de (1-cos a). 2 ||

A:

Q: sin – is equal to I- cose A I+ cose B sin I+ cose I+ cose D 1-cos

A: We know the half angle formula of trignometric functions

Q: Sin2 z+Cos?z=D1

A: Consider the function fz=cos2z+sin2z-1 The function is a complex valued function. To prove the above…

Q: R/2 sin 0 cos (cos a cosec 0) de TC (1-cos a).

A:

Q: 2 cos Ca) sin Ca) da J z sin(a) cos"(a)

A: Hey, since there are multiple questions posted, we will answer one question. If you want any…

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

A:

Q: sin (A+B) cos(A-B)

A:

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: 4 sin(A) – cos(A) | If tan(A) = , then %3D %3D 4 sin(A) + cos(A)

A:

Q: (i) Express -5 sih 0 + 12 cos 0 in the form R cos(0 + a), where R>0 and 0<a < n. Give the value of a…

A: Okay I am solving first question as you mentioned.

Q: SI sin A+tan A = sin A %3D 1+ sec A +sec.

A:

Q: cos(In x) dx =? A 1/(sin 1) B sin 1 1/(cos 1) D sin(e)

A: Given integral can be evaluated as shown below

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: 1/2 sin e cos (cos a cosec 0) de TC (1-cos a).

A: Note that we have to show that the integral value is  π2(1 - cosα).

Q: 11. cos (x) = sin (x + 20)° %3D I Answer:

A: We will use the trigonometric identity written below to answer this

Q: cos a 26.If S (cosº x · B)dæ +C, what is the B? %3D OA. - cos a 1 O B. csc z 1 O c. sec a O D. - sin…

A: This is a problem related to integral. Based on the general formula we will answer the question. As…

Q: sec a csc a-2 tan a cos a-sin a cos a+sin a sin a cos a

A:

Q: 4 cos (m) – 4 cos (m) t1 dm sin (m)

A: Consider m=x.

Q: 3. V6 (a) sin e = cos e = tan e= cot e = sec 0= csc e= (b) sin B =

A: Definition used -               In a right angle triangle -                            sinθ =…

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(t) -dt Using an appropriate substitution, evaluate: [2+ cos(1) ]* (A 3[2+ cos(t)] +C B [2+…

A: Given ∫sin(t)[2+cos(t)]4 dt Formula: ∫xn dx=xn+1n+1+c Consider, ∫sin(t)[2+cos(t)]4 dt…

Q: 1/2 TC sin 8 cos (cos a cosec 0) de (1-cos a). /2-a

A:

Q: sin e sin O cosU D. 1- cos e esce(1+cos? 0) %3D 1+cos 0

A: Given query is to verify the identity.

Q: (1/2 sin e cos 1 (cos a cosec 8) de (1-cos a ||

A:

Q: s).F ecosa sin a da cos a sin a da 2

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Q: cos e - t/7, 270° < 8 < 360° sin e- tan e- cot e- 7 sec e-

A:

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

A:

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: cos 2x+sin? x 1.4 a) Prove the identity: =1- sin x. 1+ sin x

A:

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.