8. cos x+- +sin x- 3 6.

Q: How would I simplify cos3x+sin2x * cosx

A: Remember:

Q: 15T 1) tan 4 10T 3) cos 3 11n 5) cot – 6. -

A:

Q: Use addition formulas and the values of sin θ and cos θ for θ = π/3 , π/4 to compute sin π /12 and…

A: To calculate sin π /12 sinπ12=sinπ3-π4=sinπ3cosπ4-cosπ3sinπ4=32·12-12·12sinπ12=3-122

Q: 2 Simplify (sin ½x cos ½x) *

A:

Q: If sinx−cosx=0, then what is the value of sin^4x+cos^4x?

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Q: sin "x cos“x dx cos²a 4.

A: We will use simple Integration technique to solve this question.

Q: Evaluate 7 cos6 x sin7 x dx

A:

Q: Evaluate without using a calculator.      sin  (sin    -1 3/5)

A: It is known that sinsin-1x=x.

Q: Evaluate without using a calculator.       cos ( sin  -1 3/4)

A: We have to evaluate cossin-134 We know that sin-1x=cos-11-x2 Therefore,…

Q: S (sin 2x)*(cos 2x)*dx

A:

Q: Simplify cos2(15)-sin2(15)

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Q: If θ= -4π/3, than  sin(θ)= cos(θ0=

A:

Q: What is the simplified form of cos10x - cos4x / sin10x + sin 4x

A: Using CosA-CosB and SinA+SinB formula

Q: Find sin 0 3. 4

A:

Q: By using substitution, show that x = 4 pi / 6 is a solution to the equation sin (2x) = cos (x). Show…

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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: Use your calculator to find sin 0 and cos 0 if the point (9.52,7.14) is on the terminal side of 0.…

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Q: 3 Simplify cos(arctan2). √5/5 no solution 2√5/5

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Q: Evaluate without using a calculator. sin−1(−1)

A: We have to evaluate: sin-1-1

Q: If sinx^2 =a/b find cos(90-x)

A: See the details solution in below I am consider  sin(x^2 )

Q: IT – sin 8. 2 Simplify cos - 8.

A: Given: (1)   cos2π8-sin2π8 (2)  2sin13∘ cos13∘

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

A:

Q: if sec 0 + tan0 = x,obtain the value of sec O,tan0 and sin0

A: We can solve this as per equation by using trigonometry formulas

Q: (cos2x+sin2x)+1=2  ?

A: According to the given question, cos2x+sin2x+1=2 we have to prove L.H.S=R.H.Swe take L.H.S

Q: Verify that the equation is an identity. cos 2x = COS X - Sin x tan x CoS X To verify the identity,…

A: Using trigonometric formula, we verify

Q: Evaluate without using a calculator.      sin  (sin    -1 |3/2)

A: The given expression is sinsin-132

Q: How would I simplify (1+sinx/cosx) + (cosx/1+sinx)

A: Answer and explanation is given below

Q: cosxsin5x + sinxcos5x is equivalent to   a.sin4x b.-sin4x c.sin6x d.-sin6x

A: Given:-cosxsin5x + sinxcos5xusing trigonometric identities:product and sum formulacosA…

Q: Use addition formulas and the values of sin θ and cos θ for θ = π/3 ,π/4 to compute sin 7π /12 and…

A:

Q: How does ±√((csc^2x-1)/(csc^2x)) equal on of these: secx, cosx, sinx, tanx, cotx, cosx, or 1

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Q: Find exact value: sin(2tan-1(12/15))

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Q: Evaluate without using a calculator.        tan ( sin  -1   3/5)

A: We have to evaluate the expression: tan sin-1 35 Assuming, θ=sin1 35⇐sin θ=35 So after assumption…

Q: Sinx+X CoSX+toX

A: Answer

Q: 5 sin x+1= sin x 4-

A: Factorize the given equation: 5 sin x+1=4sin x

Q: let cosx=-4/5, pi<2<3pi/2. find csc(x/2).

A: Solved below

Q: If csc(z) = 6, for 90° < x < 180°, then sin com ) - [ tan) - COS

A: First of all find the value of x, then find the given

Q: 2 Cos4 Sin (sinz) de

A: Consider the integral  ∫cosxsin2sinxdx

Q: If x = 4 tan θ, express sin θ in terms of x.

A: Given that: x=4tanθ To solve the given trigonometric function,…

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: cos(pi/2 -x)=10/11,

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Q: Show that sin 2x Þ 2 sin x by substituting 30 degree for x and then simplifying both sides.

A: To prove: sin2x≠2sinx For x=30°

Q: It sin (0) =-1/6, Pind sin Lo)

A:

Q: If csc(x) = 8, for 90° < x < 180°, then %3D sin COS 2 (5) tan() = Ouestion Help:

A: It is given that, cosec(x)=8,    90°&lt;x&lt;180° So, we have, sinx=18 We know that,…

Q: If 16(sinx)? + 16(cosx)² 10 then x=....

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Q: Simplify: 1−cos2 x/cos x−sec x

A: To simplify the following expression (1−cos2 x) /(cos x−sec x)

Q: Evaluate: ( cos$ 2xdx sin 2x

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Q: Use the addition formulas to derive: cos (x -) = sinx

A: The given equation is cosx-π2=sinx

Q: If x = 4 tan(θ), find sec(θ) and sin(θ) in terms of x.

A:

Q: 2. Cos4 Sin (Sinz) de

A: We have to solve

Q: Ok, I see how sinx derives to cosx using that formula sin^2x + cos^2x = 1, thx it helps

A: