1. Find tanx and sinx if secx = 4 and sinx < 0

Q: Find exact vaule   Sin( tan-1 (7/3)) =

A:

Q: Find sin 0 given that 0 = arctan(1/3). |

A: From the question,   Given that: Apply   inverse   property,If,…

Q: 8. Find the exact value. sin(tan¬1 x)

A: Convert tan-1x into sin-1x then calculate exact value

Q: (A) Evaluate Sin (3x) Sin (3x) dx

A:

Q: lim, 0 tan² (7x) cot(11x) (r+7)sinx

A:

Q: solve for x so that sin[2(tan^-1(3/x))]= - 3/4

A: We have given sin2tan-13x=-34 Then,…

Q: 2 (tan²x + 1)√sin2x.dx= (tan², 0

A: Find your answer below

Q: Find   tan(u/2)   if   sinu=−0.723

A:

Q: 3) Find sin 0 if sec 0 : 8. and tan 0 < 0.

A:

Q: and sin x<0, find: Sin (2x) If cosx = 12

A: cos(x) = π/12  Then,  sin(x)  =  1-cos2x  =  1-π2122  =  144-π212

Q: If y=sin(sinx) show that y''+(tan x) y'cos2x=0

A:

Q: a) Show that sin¯'x + cosx = 2 E) - tan-' (). x(x-y) y(x+y) (b) Find the value of tan1 where >-1…

A: We can solve these two question by using the properties of inverse trigonometric function as below.

Q: sin 2tan

A:

Q: Find sin 0 given that 0 = arctan(1/3).

A: sinarctan13 use the formula sinarctanx=x1+x21+x2 here we have x=13

Q: Division rule

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Q: Differentiate  (sin(x+a)/cosx)

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Q: Find sin 2x, cos 2x, and tan 2x if tanx=-3 and x terminates in quadrant II.

A: Giventanx=-3 and x is in II quadrantWe have to find sin 2x , cos 2x and tan 2xTo find sin 2x use…

Q: Differentiate a $sin "(z) with respect to sin x.

A: We will find out the required value.

Q: Evaluate (2 cos x-sin x)² -dx sin x

A: We have to solve the above integrals

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

A:

Q: If z = tan X 2 then sin x =

A:

Q: Verify the identity sin 2t - tan t = tan t cos 2t.

A: Given:sin2t-tant=tant cos2tTrigonometry formula:sin2t=2sint costtant=sintcostcos2t=cos2t-sin2t

Q: 5. If tan 0 = 2 0<0< find sin 2 CD

A: Given tan θ=52, 0&lt;θ&lt;π2   So θ=tan-152∴ θ=68.19∘

Q: Solve for the values of sin2x, cos2x and tan2x when tanx = 1, on 0≤x≤

A:

Q: 1-sin' x 3D sin.x 6. cosxcotx

A:

Q: Find sin x if cot x=-(√3)/2 and cos x (less than) 0

A: We will find the value of sin x.

Q: Suppose tan x = -4 , where < x < n. Find the exact value of sin(2x).

A: see 2nd step.

Q: Find sin 2x, cos 2x, and tan2x if tanx=2 and x terminates in quadrant I.

A:

Q: find

A: Given,           y=2sin22x*3tan-12x

Q: sec : tan/ sin :: cos :

A: As we know cos and sec are reciprocal of each other.  Therefore sec:tan/sin Then cos:sin/tan

Q: 2. Describe a way of evaluating sin° x dx.

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Q: 4 If tan x = and <x< T, find sin (2x). - 7

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Q: 1-cos?x 4. tanx sinxcosx

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Q: Differentiate sin x? +1

A: According to the question,  We need to differentiate the function,  Function: sin x2 +1

Q: Prove that csc2A tan(2A) = 2cosA/cos(2A)sinA

A:

Q: Find sin 2x, cos 2x, and tan 2x if tanx 2 and x terminates in quadrant I. sin 2x cos 2.x !! tan 2.x

A: Given, tan x = 2 x terminates in quadrant in I We have to find the value of sin2x, cos2x and tan2x

Q: Verify the identity : sin(x + π)/cos (x + 3π/2) = tan2 x - sec2 x

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Q: 15. Evaluate | sin° x cos xdx 3

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Q: Find cos x if tan x= -(2 √2)/2 and sin x= √6/3

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Q: 2) Find the EXACT value of cos if tan(0) = 3 and sin(0) < 0

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Q: If tan(x+y) tan(x-y) = 1 then find the value of tanx

A: From the given data:

Q: Differentiate x sin-1 (x) with respect to sin¯'x. х.

A:

Q: Find sin (x- π/2) if cos x=0.65

A: On solving this we will get

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

A: Given information is :

Q: Let tanA=5/12 with A in Q1 and find the exact value for sin(2A)

A: Given: tanA=512, where A is in 1st Quadrant

Q: Let sin(0) = . Find sec(20).

A:

Q: 2x,given  tanx=2 and cosx>0

A:

Q: Find sin 2x, cos 2x, and tan 2x if sinx and x terminates in quadrant IV. sin 2x cos 2x %3D tan 2x

A:

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.