() Sec A sec A + tan² A sec A - | 1 CSC X = COs X cot *x + sec?x +1 Il

Q: a-1 Find S= a-1 9. O s 4 O S= 4. O s 8.

A: topic - geometric progression

Q: Find I's 1-25 s(5²+1)

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Q: sin sin 3x = 2 co 4 sin x cos x - 4 sin x cos x X COS X vith the left-hand side, use a Sum-to- sin…

A: Here we have to verify the idnetity,  sin5x+sin3x4sinxcos3x-4sin3xcosx=2cosx

Q: () ΣΗ- 00

A:

Q: Proficiency #10. [Contradiction/Cases] Prove that if a, b, c c are natural numbers such that ab ,…

A: Proof by contradiction  There will be only one case  when both are greater than c

Q: Devise a formula for the sum of the first n consecutive numbers, i.e. 1202, KUDA LA and prove its…

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Q: ab a'b Simplify: %3D ......... (A) a'b (B) a*b (C) (D)

A: Some hints to solve the fraction problem. Let us consider a fraction: 2a·3b2c·3d Where a,b,c,d are…

Q: Poove the destity following

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Q: Prove that L is solvable if and only if adL C gl(L) is solvable.

A: Please find the answer in the next step. None that a group is said to solvable if its derived series…

Q: Show Sn+3 diverges by osing 6n +5 the test for divegence 1こV

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Q: The oDE dy -(x +り +5} SeP arable The is

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Q: cardinality of {10 + 7}

A: Cardinality of a set:   The number of elements in a set is the cardinality of the set. The…

Q: sin +i e+ 4 e %3D 4 4 e

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Q: fintion for= frntion show that the 7 4-ex has inverse

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Q: sin(x + /4)= sin(x) + Cos(x

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Q: tan (6æ)sec (6æ)dæ Evaluate + C

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Q: an explicit formula for ti

A: Given that the recursive rule is, And P0= 40   Substitute n=1 in equation (I) That is, Pn=Pn-1+70…

Q: Binary Operation As operation * defined by a* b = (a/b) raised to the 2nd power is a binary…

A: A binary operation is an operation on a set such that given two elements are in the set and when we…

Q: Hiu/ fx)= past Ctaylon Serie) 2-X

A: We have to find the Taylor series of the following function centered at a=1, f(x)=12-x

Q: tan x csc x(1+ sec x) ove 1- cos x %3D

A: you need to know these formulae before solving the question:

Q: "When proving a complicated theorem, it can help if we propose and prove one or more first, using…

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Q: If sin A = B = ㅠ 12 = 1/2 √A - √B₁ A - √B, then, by using a half-angle formula, find

A: Given that

Q: Evaluate csc Enter the exact answer. CSC (4). (7)

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Q: Combination of n Objects Taken One or More at a Time The number of combinations Cofn objects taken…

A: We have to find the number of combinations of n objects taken one or more at a time.

Q: Let S = {1 + x, 1 − x, 1 + x^2, 1 − x^2}. Prove that span(S) = P_2(R), the set of all polynomials of…

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Q: Grometric sea 191 = 10시 an = ₁ r == 1 indentify t the sum

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Q: sin æ 1-cos z csc x + cot x Drag an expression into each box to correctly complete the verification…

A: Solution: The objective is to prove the given statement

Q: Simplify the expression dz tan sec r tan2 x -1

A: we know tan2x=sec2x-1. so in equation (sec2x-1)/(1-sec2x) = -(sec2x-1)/(sec2x-1) =-1

Q: (1+i)x-2i (2–3i)y+i ... -i 3-i 3+i The value of y is Blank 1. Express your answer as integer. Blank…

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Q: Find the general solution of the given ODE x+1 v +1

A: dydx=x+1y4+1 (y4+1)dy=(x+1)dx Integrate both sides ∫(y4+1)dy=∫(x+1)dx∫y4 dy + ∫dy  = ∫x dx + ∫dxy55…

Q: sin z The expression 1-cos z sin z was simplified as follows. 1- cos z sin z 1-cos z 1-cos a sin r…

A: Expression has an error in step second

Q: sin(n)

A:

Q: Simplify the expression tan r+cot a cot a O tan? x O - tan? a O - sec2 x O sec? x

A: Options D is correct.