n sin A cos A 1-n sin? A If tan B prove tan(A – B)=(1–n)tan A.

Q: Verify AB = BA for the matrices below.

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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: sin(e)de 4+cos (e) In(4+cos'(e)) +c -sinh -sinh cos (0) sinh (cos (0)) +c 2/4+cos (0)

A: Use the substitution method and integrate the given expression.

Q: (3) Proving that sin?(x) + cos (x) = 1: d. (a) Show that -(cos² (x)+ sin (x)) = 0. What does the…

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Q: 5 sin a-3 cos a If 5 tan a 4, Show that 5 sin a+2 cos a 116

A: Trigonometric identity: tanθ=sinθcosθ Consider the given mathematical statement in the question are…

Q: sin (x) tan(x) Vsec (x)-1 1-cos (x) Simplify the identity a) 2 b) 0 c) 1 d) 3

A: Using batch Trigonometric identities we can find the solution

Q: 5 sin a -3 cos a If 5 tan a = 4, Show that 5 sin a +2 cos a 116

A: Given: 5 tanα=4

Q: a. Using the identities for sin (A + B) and cos (A+B) express i. sin (2A) and cos (2A) interns of…

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Q: 5 sin a -3 cos a 1 If 5 tan a = 4, Show that 5 sin a + 2 cos a 6

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Q: 1+ sin x dx = 2 cos? x Hide answer choices - A tan x + sec² x + C tan x + seс х + С C In(1+cos?x) +…

A: Given, ∫1+sinxcos2xdx We need to calculate the value of the integral. We know that…

Q: 3 sin z – sin a cos² x = sin³ r

A: NOTE: Refresh your page if you can't see any equations. . here left-hand side is

Q: a Find the values of A and B in the identity A (2 sin x + cos x) + B (2 cos x sin x) = 7 sin x + 11…

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Q: 3. A value of e is defined. Evaluate the expressions sin 2 e, cos 2 0, tan 2 0 a. cos 0 = -, and e…

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Q: cos a 1+ sin a 7. Verify the identity: + 2 sec r. 1+ sin æ cos a

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Q: 1. sinh^2x + tanh^2x=? 2. What is the value of tan A if cot 2A cot 68= 1? 3. Let h(x) = 3x + 12…

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Q: 5. If sin t = and 0<t<-A , find the exact values of sin 2t, cos 2t, and tan 2t. a. The exact value…

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Q: 2 sin a 6. cos²a tan a = sec a+cos a+sin²a sec a sin a 1 7. 1 +2 sin a-sin² a sec a sec a cot a-tan…

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Q: Verify the identity.

A: sin2α+1-cos2αsinα1+cosα=1-cos2α+1-cos2αsinα1+cosα…

Q: cos? 0 + sin 0 - 1 1 1. Prove: cos? 0 sin 0 1+ sin 0

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

A:

Q: (ах) +k sin (az) kr +sin (ax) а cos Evaluate dæ e-

A: From the given problem: I=∫a cosax+ksinaxe-kx+sinaxdx As we know that; a-m=1am So, we can also write…

Q: (1+cos a)(1-cos a) (1+cos a)(1–cos a) Which of the following is equivalent to for all values of a…

A: let x =1+cosα1-cosαsin3αwkt (a+b)(a-b) = a2-b2sin2α+cos2α = 1 (trignometric identity)

Q: tan( tan3x) dx Evaluate: cos?3x A) 3 -In|sec (tan3x)|+C -In|cos( tan3x)|+C 3 In|cos(tan3x)|+C In|sec…

A: Just I have make the substitution and solved the given integral.

Q: 8(cos a-1) sin a cos a - sin r

A: The given function is 8cos2x-1sin xcos x-sin x.

Q: find cos (a-b) sin A= -1/2 sin b = 1/4 with sin A in quadrant IV and B in II

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Q: + sin x dx = cos? x A tan x - sec x tan x + C B tan x + sec? x + C In(1+cos?x) + C

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Q: COS a COsa =n show that (m²+n°) cos B=n². sin B If =m and cosß

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Q: g. sin(n – 0) = -sin (ë + 0) 2tane h. 1+tan28 sin (n + 0) %3D %3D 2sin@cos0

A: To verify the identity in the subpart G and H

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: tan´a+1 Which expression is equivalent to for all csc?a tan?a+1 csc²a values of a for which is…

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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: 12. Prove cach sin 0 + 2 cos 0 cos 0 + cos 0 es. a) sin 0 + 3 cos 0 - sin? 0 2 sin a - cos a tan a =…

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Q: cos 4.r – cos 2r Show that - sin a for all a such that sin 3 + 0 2 sin 3r

A: We  need to prove the following: cos 4x-cos 2x2 sin 3x=-sin x Taking LHS (Left hand Side): LHS=cos…

Q: sin e ? cos(-0) Which of the following is identical to the expression tan(-0) + A -2 tan = 0 C 1 B.…

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Q: tan A + sec A + 1 tan A The expression -is equal to sec A – 1

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Q: sin A+cos A If tan A 1 and A < 90°, then the value of is 2 sin A-2 cos3 A+8 cos A

A: Given:-          tan A = 1           and         A &lt; 90 degree(first quadrant) =&gt;  A will be…

Q: HW: (1) Prove that: cos'e (a) 1- tan'e 1-cot' @ sin'e -1, (b) tan'0.cos' 0 + cot³ 0.sin³ 0 -1

A: The detailed solution is as follows below:

Q: tan-0) = T then tan 0 is equal to O 2 O 4 3 O 1 4

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Q: 8. Show f(0) = g(0) f f(8) = sin*e and g(8) =-cos(20) +cos(40).

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Q: cos a 1+sin a 1-sin æ cos a = 0.

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Q: 5 sin a - 3 cos a 1 If 5 tan a = 4, show that 5 sin a +2 cos a 6.

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Q: p(x) = sin cos x Select the correct response: tan x O 1 O sin? x – cos² x 2 COS“ x -

A: Given that

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: sin A+cos A If tan A = 1 and A < 90°, then the value of -is 2 sin A-2 cos3 A+8 cos A 1 1 8 2 Option…

A: We have to find correct option

Q: 3. Sin A = Sin A = 20 51 Cos A = Cos A = Tan A = Tan A = C 24 B 5. Sin A = Sin A = 5 Cos A = Cos A =…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: ats)-(a cos().a sin().0). Let a(s)- then:

A: