15. Explain the steps in verifying that the following equation is an identity. sec a sin e sin a cot x cos r

Q: Use the method of substitution to evaluate | 2x cos x² dx. sin x? + c – sin x? + c sin x? + c sin x-

A: We use substitution method

Q: 3. cos? (z) sin“ (2) dz

A: Given, The integral is,

Q: A4 to Select the TWO expressions that must be equivalent to cos A. tan 90 B. sin z sin y

A:

Q: Make the indicated trigonometric substitution in the given algebraic expression and simplify…

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Q: 6. Explain the steps in verifying that the following equation is an identity. sec x sin x = cot x…

A: We have given equation  Taking left side of equation  LHS = secxsinx-sinxcosx           =…

Q: 4. Explain the steps in verifying that the following equation is an identity. sec sin a sin r cos a…

A: Given equation: secxsinx-sinxcosx=cotx

Q: – sin x show that - In |sec x +c ??? %3D COS X

A:

Q: e cos a sin a da

A:

Q: Evaluate the expression under the given conditions. V5 o in Quadrant I sin(0 + o); sin(0) = , O in…

A:

Q: sin' x dx

A:

Q: Express cot 0 (e in quadrant III ) in terms of cos 0. cos e V1+cos²e cos e V1-cos²e cos e /1-cos²e…

A: we have to express cot θ in term of cos θ where θis in third quadrant we know that cot θ = 1tan θ…

Q: 2. If tan 0= x2, which of the following is correct? Defend your answer. a. cos e = 1/V(1+x^4) b. sin…

A: As per the guidelines I can solve only one question

Q: Use the following conditions to find the exact value of sin 2α.

A:

Q: Verily the icentity. sin 6x + sin 4x = tan (5x) cos 6x + cos 4x Stort eida and

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Q: Evaluate the expression under the given conditions. sin(0 – 4); tan(8) 4' O in Quadrant III, sin(@)…

A: sinθ-φ; tanθ=34, θ in quadrant III, sinφ=-1010, φ in quadrant IV tanθ=34 III quadrant Since both…

Q: The following is equivalent to the choices below except | (tan (x)+ 1) dx 1 dx cos? (x) sec (x) dx…

A: Please refer the attached image for complete solution. THANK YOU.

Q: 3- + y cot x = 2 cos x %3D dx

A: The details calculation is given below

Q: 3. * ... ... 35 21. Show work: trig ratio (sin, cos, or tan) of Z = = %3D trig ratio: =7' X =|

A: Given figure,

Q: csc? a + sec? æ 1 cos x sin z

A:

Q: 1 cos A 13. If with A in QIV, find A sec

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 9. Decide whether or not the following equations are true or false: e° = cos" r + sin² r = cosh? r –…

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Q: Evaluate the expression under the given conditions. sin(0/2); tan(0) : O in Quadrant IV (assume 0 <…

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Q: Evaluate the expression under the given conditions. sin(0 + q); sin(0) = 8 0 in Quadrant I, cos(@) =…

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Q: Evaluate the expression under the given conditions. sin(0/2); tan 0 = -0 in Quadrant IV (assume 0 <…

A:

Q: Eliminate the pavameter from. the follawing. X()= cos (2f) Sint

A:

Q: Why does eix=cos cos x + i sin sin x ?

A: To prove , or justify the identity exp(ix)= cosx+isinx

Q: Evaluate (be careful if n = m) sin L MTX sin dx L for n > 0, m > 0. Use the trigonometric identity…

A: To find:

Q: Simplify the lefthandside so that LHS = RHS: 1+ cos(a) cos(a) 1 tan(a) sin(a) 1 1+ cos(a) 1- cos(a)

A:

Q: Simplify the lefthandside so that LHS = RHS: sin(a) 1+ cos(a) 1- cos(a) sin(a) 2 tan(a) 2 tan(a) ||

A: Here is the solution:

Q: 1. Complete each of the following: a) sin  = d) sin Ĉ = b) cos  = e) cos Ĉ = c) tan  = f) tan Ĉ =…

A:

Q: 16. Determine So sin x cos x dx

A: First simplify then integrate

Q: Explain the steps in verifying that the following equation is an identity. sec sin a cot x sin a cos…

A:

Q: 4. Which expression is equal to tạn sec I cot using identities? CSc a O tanr+ cot x sin x cos 2 tan…

A:

Q: 16. Complete the following table of signs: ө sin 0 cos e tan 0 cot 0 sec 0 csc e 0 < 0 < <A < : 2 Зл…

A:

Q: ind the exact values below. If applicable, click on "Undefined." 23n sin 6. JT %3D Undefined (-315°)…

A:

Q: Complete the steps by applying trig identities to show that the left hand side of the equation is…

A: To prove : tan2x - sec2xcos x = -sec x

Q: B/ Find sec a, sin a, csc a, tan a and cot a, if a =. -1 V3 = COS 2

A: Given query is to find indicated trigonometric functions.

Q: 7) Use the given figure to write the trigonometric ratio as fractions and as decimals rounded to the…

A:

Q: 1. Evaluate: sin (x) cos? (x) dx.

A:

Q: Evaluate the expression under the given conditions. sin(0/2); tan(0) O in Quadrant IV (assume 0 < 0…

A: Given θ in IV quadrant So sine will be negative

Q: a. Find 2 of the following. dx 1. y = cot? [sin (Tan-1

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Q: Simplify the lefthandside so that LHS RHS: %3D sin(a) sin(a) cos(a) – 1 cos(a) +1 tan(a)

A:

Q: 2. Given that csc A = v2, A in QI, and sec B V5, sin B <0, find: a. cos (A- B) b. tan (A- B) %3D

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: the Following Solve Sin x (Co Sk) y = t anx %3D

A: Divide whole equation by sinx in order to make dy/dx alone

Q: Evaluate the expression under the given conditions. 2/5 sin(0 + o); sin 0 = = =, 0 in Quadrant I,…

A: -1/√5

Q: D let cOs x ) and cos x lies below the x axis e Find sin(2x), cos(2x) and tan (ex). ) Proof the…

A:

Q: find dr/dθ r = θ sin θ + cos θ

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Q: Given that sin(a) = and cos(b) 5 with a %3D 4 sin(a + b) = %3D cos(a - b) = %3D

A:

Q: Use the given information to find cos(x+y) . 1 1 cos(x) : , x in quadrant III, sin y 3 , y in…

A: Explanation of the answer is as follows

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.