If  sin(θ) =  12 13  and  tan(θ) = −  12 5,  find  sec(θ).

Q: 2) If y = cos x, what is y (®(x)?

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Q: If sin v = with < v < T and cos w = * with 0 < w < , find sin (v + w)

A: Given that π2&lt;v&lt;π. So, v is in the 2nd quadrant.In 2nd quadrant sinv is positive but cosv is…

Q: 3. Suppose that sin r =, x lies in quadrant I, and sin y = 3 and y lies in quadrant II, find sin(x +…

A: Given: sinx=45, x lies in quadrant I. And siny=1213,y lies in quadrant II. We know that, In quadrant…

Q: Express the given quantity in terms of sin x and cos x.

A: Given expression: cosπ+x

Q: If y = cos x + sin 2x, find the value of y” - y’ +3y

A: We will differentiate the given function.

Q: If sin x= 1/3 and sec y = 17/15, evaluate cos (x+y)

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Q: 4. y = tan(x + a), , where 2x

A: You are asked for multiple questions. As per our guideline we can do only one. Please repost others.

Q: If sin x = A + B cos 2x + C cos 4x, then A = 2 B " с =

A: Since you have posted multiple questions we will answer first problem for you for remaining please…

Q: 4. When A + B + C = 180°, show that sin 2A + sin 2B + sin 2C = 4 sin Asin B sin C

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Q: Given that sin' (x) and cos (x), show that sin(a+B) = 1 %3D

A: Use the identities of inverse trigonometric function.

Q: For what values of x can we replace sin x by x - (x3/3!) and obtain an error whose magnitude is no…

A:

Q: and π 6. If tan y = - <y<7, find sin

A: We have  tany=-115 and π2&lt;y&lt;π we have to find siny2=? by using half angle identity.

Q: If csc(z) = 6, for 90° <z< 180°, then %3D sin () %3D «(금) cos tan(플) - ||

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Q: If φ(x)= cos x, find φ(0), φ(1/2 π), φ(π), φ(-x), φ(π-y)

A:

Q: 3. Are reduction formulas needed to evaluate sin x cos? x dx? Why or why not?

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Q: If csc(x) = 8, for 90° < z < 180°, then sin) Cos tan ||

A: we have been given cosec(x)=8 and x  lies in 2nd quadrant where cos is negative  therefore,  csc…

Q: If sinx=1/3 and sec y=5/4, where and lie between 0 and pie/2 , evaluate sin(x+y)

A: Given where  x lie between 0 and pi/2. Now, Since, x lies in first quadrant , so , value of cosx…

Q: Given cos(x) = 2 on the interval [0, 2π], what is the value of x?

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Q: TI 37t y = In(sin x), 4' 4

A: Given,         y=lnsinx , π4,3π4

Q: Rewrite cos x+ in terms of sin(x) and cos(z). 4

A:

Q: If sin A =V with 180 AS 270 find cos 2A and cos 65 Cos 2A = cos号 COS

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Q: If cos(x)=A, cos(y)=B, sin(x)=C and sin(y)=D, find an expression for sin(2x+y) which only involves…

A: If cos(x)=A, cos(y)=B, sin(x)=C and sin(y)=D, find an expression for sin(2x+y) which only involves…

Q: We wish to compute sin° x cos“x dx,

A:

Q: 2. Show that y = ce sin

A:

Q: 4. If (sin2x + cos2x)dx =, sin(2x – c) + a, find the values of a and c.

A: Introduction :

Q: If cos(t): sin(t) = cos(-t) = 7 and tan (t) > 0, find sin(t) and cos(-t) 10

A:

Q: Given that sin' (x) and cos ( x), show that sin(a+B) = 1

A: Given that sin^-1 (x) and cos^-1(x) We have to prove that sin ( alpha + beta) = 1

Q: .  If tan(t)≈2.7, tan(t)≈2.7, and sin(t)≈0.94, sin(t)≈0.94, find cos(t).

A: For right angle triangle containing base, altitude, hypotenuse and angle x. Tan x = altitude / base…

Q: If 4 | sin*ea cos cx dæ 0, 35 then c=

A: H3 hhh y

Q: Given tan x = sin x < 0; cos y = csc y < 0, find sin(x-y) 3/5

A:

Q: If Sin(3x+5) = Cos(2x – 10) what is the value of x?

A: This question is related to comparison of trigonometry function.

Q: If y = tan-1 xy and (x = 2, y = 3) %3D %3D y will be equal to?

A: Given: y=tan-1xy To find y' at x=2 and y=3. Solution: Chain rule of differentiation states that:…

Q: 12. x² sin(x + y) = 1, -

A:

Q: Find sin e & cos 0 if given 7 and 90° <0<180°. 12 cos 20 = -

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Q: Compute / tan x · sec a dæ.

A: detailed solution is given below

Q: If sin x + sin y = ½ and cos x – cos y = 1, find x.

A:

Q: Find  sin(x + y) given: sin x = − 2/3 and x is in Quadrant III; and sin y = 1/3 and y is in…

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Q: If cos x= √7/4 and 3 π/2 (less than) x (less than) 2 π, find tan x/2

A: If cos x= √7/4 and 3π/2 &lt; x 2π, find tan x/2

Q: one of sin x, cos x, and tan x is given. Find the othertwo if x lies in the specified interval.

A: Given information: tanx=12    x∈π, 3π2

Q: Given cos x sin x < 0; tan y = sec y < 0, find sin(x+y)

A:

Q: If sin (B) = -1/3 with B in QIII, find sec (B/2).

A:

Q: Sinh メニ 2o COSN メー? Secnx =? tan h X=? Cotn X =?

A: Given, sinh x = 2099  We have to find cosh x,  sech x, tanh x , csch x  and  coth x.

Q: If y= tan (kx) + tanh'(kx) and (1 - 625 x) y'=A Then K=, -.... Answer:

A:

Q: Given: tan(0) 12 %3D find sec(0). = 12

A: Trigonometry Ratio's tanθ =PBsecθ=HB By Pythagoras theorem , H2 =P2+B2 Where H is hypotenuse , B is…

Q: 2. Find (a) tan(x + y), (b) tan(x – y), (c) quadrant containing x + y and (d) quadrant 3 containing…

A:

Q: If r(0) = tan(sin 0), then r'(0) is:

A: We have given  rθ=tansinθ r'θ=drθdθ r'θ=ddθ(tan(sinθ)) r'θ=sec2(sinθ) ddθsinθ r'θ=sec2(sinθ) cosθ…

Q: The range of this Y= 2 cos (3x) Is?

A:

Q: If sin x + sin y = ½ and cos x – cos y = 1, find x

A:

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.