1. sin x csc x 5. cos x (tan x + 1)

Q: (8 cos x + 9 sin x) dx

A: SOLUTION-

Q: 2. Find cos x and cot x if sin x = 1/4 and tan x< 0.

A:

Q: 4. cos*x Evaluate: sin' x( sin' 3/5 x+ cos³ x 3.

A:

Q: 3 sin x + 4 cos x +5**

A:

Q: 2 cos² x√4 tan x S tan² x dx

A:

Q: If y = sin x, then y' = - cot x sin x - tan x sec x sec x -sin x - Cs X tan x cos X CSC X

A: Given function is y=sinx. Differentiating the given function with respect to x, we get…

Q: If sin x - cos x = 1/5, what is (sin x) (cos x) equivalent to?

A: Given sinx-cosx=15Squaring the equationsin2x+cos2x-2sinxcosx=125

Q: cos( – x) + tan( – x)sin( – 2)

A:

Q: Verify sin (x +) = cos(n – x) %3D

A:

Q: 5. Verify the identity: sin(x- y)cos y+cos(x– y)sin y = sin x

A: Explanation of the solution is given below.....

Q: Let cos x = 1/3+z and cos x lies below then x-axis. Find sin(2x), cos(2x) and tan(2x).

A:

Q: 2. tan x csc x + cot x sin x = sec x + cos x

A: As you mentioned question no 2 solved

Q: b) (cosx+ Sinx)² - Cos x+sinx)(cosx-Sinac) tan 2x 2. c) 1-Cos-x - Sin2oc) Sin X - 2cos x

A:

Q: Establish the identity. sin x+ sin y X+y = tan COS X+ COs y 2.

A:

Q: Verify the identity: (sin x - sin y)/(cos x - cos y) = -cot (x+y)/2

A: sinx-sinycosx-cosy=2cosx+y2sinx-y2-2sinx+y2sinx-y2=-cosx+y2sinx+y2=-cotx+y2…

Q: 1 1+ cos x 9. 1- cos x || sin? |

A: We can verify the statement as below.

Q: 3下 2 cos x 1-Sin x

A:

Q: 31) 2 tan x cos x+2 cosx= tan.x+1

A:

Q: (³² sin æcosx tan³ xcot³ x sec xcscx dx

A:

Q: 21. cos x cos 2x + sin x sin 2x

A:

Q: 1. tan x sin x + cos I = sec x

A:

Q: 1. sin x csc x 5. cos² x (tan? x + 1)

A:

Q: 3 3 | sin sin x cos xdx 5

A: It is integration problem.

Q: How can I rewrite: sin(cos^-1(x)*cos(tan^-1(y)-cos(cos^-1(x))*sin(tan^-1(y))  as an algebraic…

A: Given expression

Q: Evaluate (tan x cos x) dx А. cos x + C cos x + C - С. - sin x + C D. sin x + C B.

A:

Q: 8. Evaluate sin (x) cos(r)dr using an appropriate substitution.

A: here  we use the formula  ∫(xn)dx=xn+1n+1+C     according to our guidelines we can answer only…

Q: Evaluate: / [cos(x) – sin(x«) ]dr A cos(x) + sin(x) +C - cos(x) + sin(x) +C

A: In this question we will use basic of calculus i.e concept of integration. We will simply use the…

Q: 2. Find cos x and cot x if sin x = 1/4 and tan x < 0.

A:

Q: 1. cos x 1 - sin x = sec x + tan x

A:

Q: 1 sin x + 2 cos x + 3

A:

Q: 3) f(x) = cos5 (tan (sin²(x*))) ||

A:

Q: 1. sin x sin 2x + cos x cos 2x = COS X

A:

Q: 1-cos?x 4. tanx sinxcosx

A:

Q: 7 cos2(x) tan3(x) dx

A:

Q: 1. (1+ sec x)(1- cos x) = tan x sin x

A:

Q: - Let cos x 5. Find all possible values of sec x – tan x %3D sin x

A: Given that  cosx=13 To find the possible values of  secx-tanxsinx The identities used here…

Q: xy2-cos x sin x y' = ху?-со -cOs x sin У(1-x?)

A:

Q: (1+cos.x) sin x tan x+sin x (10) %3D tan x- sin x

A: We solve this by using trigonometry identity

Q: In(tan x) -dp- sin x cos X 3 4

A: To evaluate the given definite integral.

Q: Find x where 0 ≤ x ≤ 2π. cos x - tan²x = 1

A:

Q: (2 In sin x)3 15. S tan x

A:

Q: Find sin (x/2) cos(x/2) tan(x/2)

A: Given information is :

Q: 1.5; cOs X dx sin³ x – 4 sin x

A: Note:- We’ll answer the first question since we answer only one question at a time. Please submit a…

Q: Find x cos(x)-sin(x) = 0

A:

Q: 2 sin x tan x– tan x=0 3.

A:

Q: 2. y = tan-1(sin 3x) + cos-(cos x)

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

Q: S [tan® x sec6 x + cos“ x sin“ x + sin* x] dx

A: Given that: (tan8xsec6x + cos6xsin4x+sin4x) we solve this integration by using general formulas of…

Q: |(1+ sin x)'cos x in x) cos x cOS.

A: Given: ∫1+sinx3cosxdx