Use trigonometric identities to simplify the expression. 1/sec2(x)+sin(x)cos(π/2−x)

Q: sin 180° tan 315º Cos 0°

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Q: complete the identity cos x-sin x/cos x+ sin x-cos x/sin x

A: Here we use basic trigonometric relations to complete the given identity.

Q: 1. Use a right triangle to write the following expression algebraic expression: as an sin -1 tan

A: use a right triangle to write the given expression as an algebraic expression.

Q: 3. X Cos X dx COS

A: On solving this we will get

Q: 6) Simplify the Trigonometric Expression sin x-1 sin x+1

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Q: Write the expression as a single trigonometric function. cos 7x cos x − sin 7x sin x

A: cos7xcosx-sin7xsinx

Q: Establish the identity. tanθ x cosθ=sinθ

A: Given,           tanθ×cosθ=sinθ

Q: Find a simplified expression for cos(sin−1(a8))

A: The given trigonometric expression is: cossin-1a8

Q: f(x)=tan(x)-1/sec(x) Simplify the expression for f(x) by writing it in terms of sin(x) and cos(x),…

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Q: 5. gl1) = Cot3x ら。 -- HQ) = I+ Sin x 1- Sin X

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Q: sin (x) = -0.8. What is cos (90° - x)? Submit

A: Given: sin (x)= -0.8 Formula: cos (A-B)= cos A cos B + sin A sin B

Q: Sin(x−6)=Cos(54) What does X = ?

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Q: 6) Simplify the Trigonometric Expression sin x-1 sin x+1 %3D ||

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Q: Simplify: (i) sin(cos-a) (ii) cos(tan-a) (iii) tan(sin-x) (iv) sec(sin-a)

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Q: sec x cos(-x)-sin? x

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Q: Verify the identity. You must use the format used in lecture, i.e. show that LHS = ... = RHS or RHS…

A: We can verify it as below

Q: What is the simplified form of sin(x - T)? -sinx O no correct answer COSX O sinx O -cosx

A: The given expression,sinx-π

Q: ( sin(3x+1) cos?(3x+1) Evaluate

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Q: Find of: y = Tan? (sin-1(x*)) %3D

A: Find the derivative

Q: (cor- (-꼴)) + tan-1 (sin (5)) ? What is the exact value of sin COS 2 -2/2-T 4 -2/2+T 4 2/2+T 4 2/2-n…

A: We have to find the value of the given condition

Q: csc (tan 2y-1)cy 5. cos* 2y

A: Given ∫csc2(tan2y-1) dycos22y To evaluate the integral using Trigonometric formula:

Q: Match the trigonometric expression with its simplified form. cos²[(π/2) -x] cos(x) sin(x) tan(x) O…

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Q: 10. Simplify (cos x- sin x)? - (sin x-cos x)'.

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Q: et sin x | lim x → 0 18 cos x 18 (Use calculator and write your final answer in the given box)

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Q: csc(x)=7  sin(x/2)=? cos(x/2)=? tan(x/2)=

A: Given that: csc(x)=7

Q: sin Cabo-0 Jo tan (180-0). COS (180+x). (sIn?3C +COS?C)

A: We have to find: sin(360∘-x) ×tan(180∘-x)cos(180∘+x)(sin2x+cos2x)

Q: sin (90° – x) = -0.8. What is cos (x)? %3D

A: Solution Let consider identity sin(90°-x)=cosx ........................(1)

Q: Prove the identity. sin(x - ) - -cos(*) Use the Subtraction Formula for Sine, and then simplify. sin…

A: Given that, sinx - π2=-cosx We have to prove this identity. We know that, The substraction formula…

Q: tan?x Establish the identity = sin x coS X tan x+ tan³x

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Q: sin x 1 where x is in the 2nd quadrant. Find cos x and tan x = -

A: We use Pythagoras theorem (Hypotenuse)2 = (perpendicular)2 +(Base)2   We use Trigonometry ratios…

Q: Use basic identities to simplify sin^3*x+cos^2*x*sin*x. Enclose arguments of functions in…

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Q: cos + tan-'x = ! ele %3D

A: Given  The equation is cos-1x2+tan-1x=π2

Q: Differentiate (sin x + cos x)2. (Hint: use the trigonometric identities)

A: We can make it easier for you

Q: Prove the identity. sin(x - x) = -sin(x) Use the Subtraction Formula for Sine, and then simplify.…

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Q: sin x cos x # 0, What is cot x =? COS X If tan x =

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Q: Identity or Equatio 2 cos x = 1- sin x Equation tan“ x - 2 sec? x = 1 Equation

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Q: 3. Which expression is equal to tan x csc? x – tan x using identities? cos x tan x cot x sin x

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Q: Match the trigonometric expression with its simplified form. sec²(x) - 1 sin²(x) 01 O sec²(x) 0-1 O…

A: Given sec2(x)-1sin2(x)To write in simplified form:

Q: cos?x- tan2x = 2 – sin?x - sec?x.

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Q: (sin x+ cos x). Find xp

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Q: b) Using trigonometric substitution x = 4 sin0, evaluate [x/16 – x² dx.

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Q: Write the expression as a single trigonometric function. cos 6x cos x − sin 6x sin x

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Q: Rewrite -6 sin(æ) - 3 cos(x) as A sin(x + 4)

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Q: Rewrite the expression as an algebraic expression in x. sin(tan-1(x))

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Q: Simplify the identity :   :      sin2 x cos x /Cos 2 x  sin x

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Q: Simplify the identity: : sin2 x cos x Cos 2 x sin x

A: given trigonometric identity  Sin2x.cosx/cos2xsinx  Can be solved by using formula as shown below

Q: sin (x) = -0.6. What is cos (90° - x)? %3D Submit

A: Explanation of the answer is as follows

Q: Prove the identity. sin(x - 7T) = -sin(x) Use the Subtraction Formula for Sine, and then simplify.…

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Q: What is the simplified form of sin(x – 1)? O no correct answer O -sinx cosx sinx -cosx

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Q: sin²0 × tan² B- cos2a - cos?a sin? 30° x tan 60° - cos 45°

A: The square of any trigonometric ratio is represented as: sin2(θ)=sin(θ)2      and…