Verify the identity by completing each step. sin(a + B) sin(a)sin(B) = cot(a) + cot(8) sin(a + B) [apply sum and difference formula] sin(a)sin(8) [write as TWO fractions] %3D [simplify] = cot(a) + cot(8)

Q: Verify the identity. sin (a + B) = tan a+ tan B cos a cos B Write the left side numerator in terms…

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Q: 1 - sin (t) sin (t) Simplify to an expression involving a single trig function with no fractions.

A: Let's find single trig function with no fractions.

Q: sin 180° tan 315º Cos 0°

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Q: Verify the identity. sin x- (sin x+ cos x) 2 Write the left side in terms of a sum or difference…

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Q: |(estn(5c))(cos(5c))(dc)

A: Given: ∫esin5ccos5cdc Now by using the substitution u=5x du=5…

Q: Use identities to write the expression as a single function of x or 0. cos (0 + 270°) Cos e -sin 0…

A: The above identities given are known as the trigonometric identities. We can evaluate this and write…

Q: Rewrite sin (x+ in terms of sin x and cOs x. Enclose arguments of functions in parentheses. For…

A: given function  sinx+π6 Recall the formula sina+b=sinacosb+cosasinb

Q: Use an Addition or Subtraction Formula to find the exact value of the expression, as demonstrated in…

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: A

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Q: sin- 33°+ sin 123°- cos(-10°)· sin 80° (4) tan (-150°) cos² 800°

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Q: Rewrite sin(x - 15pi/4) in terms of sin(x) and cos(x).

A: We have to find rewrite sin(x-15π/4) in terms of sin(x) and cos(x) We know that  sin(a-b) = sinacosb…

Q: Use identities to write the expression as a single function of x or 0. cos (0+ 270°) cos 0 -sin 0…

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Q: Complete the identity. cos (x - )= Cs X sin x O -sin x -coS X

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Q: sin A+cos A is 2 sin³ A-2 cos³ A+8 cos A If tan A = 1 and A < 90°, then the value of

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Q: Simplify the expression tan2⁡x(csc2⁡x−1). 1 tan2⁡x cot2⁡x -1

A: We have to find the simplification

Q: Use a sum or difference identity to find the exact value of the expression. 7π 12 sin

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Q: Verify the identity. (Simplify at each step.) cos³ x sin“ x = (sin“ x – sin x)cos x cos x sin“ x =…

A: Using First Identity Of Trigonometry.

Q: Sin(x−6)=Cos(54) What does X = ?

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Q: Verify the identity by converting the left side into sines and cosines. (Simplify at each step.) 6…

A: To verify the trigonometric identity.

Q: sin- a. b. undefined cos(-210) C. Cus270 tan450 d.

A: sin17π6=cosπ2-17π6=cos-7π3=cos7π3=cosπ3=12        cos-210∘ =cos210∘ =-32

Q: Verify the identity. sin x- sin y X-y = tan cot sin x+ sin y Start with the numerator of the left…

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Q: Verify the identity by converting the left side into sines and cosines. (Simplify at each step.) 9…

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Q: Verify the identity. sin (a- B) = tan a- tan B os a cosB Write the left side numerator in terms of a…

A: Given that sin (α-β)cos α cos β=tan α-tan β We have to verify the given identity.

Q: 5. Evaluate the expression without using a calculator. Sh (a) sin (쓰) (b) cot(-210°) (c) csc(cos-1…

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Q: sin(11π÷12) Find the exact value

A: Given expression

Q: Prove the identity. sin(x - 1) = sin(x) Use the Subtraction Formula for Sine, and then simplify.…

A: As we know the subtraction formula for Sine. sina-b=sinacosb-cosasinb   To prove the identity…

Q: VII. Verify the identity. 11.) sin 3x = 3 sin x-4 sin3 x

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Q: Verify the identity. sin x- sin y x-y x+y cot = tan sin x+ sin y 2 2 Start with the numerator of the…

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Q: Verify the identity by converting the left side into sines and cosines. (Simplify at each step.) 8…

A: To verify : 8secx-8cosx=8sinxtanx

Q: Find the value of the sum. sin(105°) + sin(15°)

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Q: 1) Find the exact value of each expression. a. tan-1(-1) 3. b. sin-1

A: Use the inverse trigonometric identities and simplify the all expression.

Q: Verify the identity. tan(0) + cot(0) = sec(8) csc(8) Use a Reciprocal Identity to rewrite the…

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Q: VIII. Use an addition or subtraction formula to find the exact value of the expression: a) tan 165°…

A: Use addition formula and find the value:

Q: Simplify: sin(-x) 1 – cos(-x 6 x 1 sin x cos x - O None of these -12 csc x -12 sec x 12 csc x

A: Sin(-x)        =-Sin(x) Cos(-x)        =Cos(x) Sin2x+Cos2x=1 cosec(x)       =1/sin(x)

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

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Q: Rewrite sin^2θcos^2θ in a way that does not use exponents and sinθ doesn't appear

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Q: Rewrite sin(x+5pi/6) in terms of sin x and cos x. Enclose arguments of functions in parentheses.

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Q: Verify that the equation is an identity. 1 1 -2 sin x 1+ sin x 1- sin x cos To verify the identity,…

A: Given, 11+sinx-11-sinx=-2sinxcos2x We have to verify that the equation is an identity.

Q: if tan(x)=A, sin(x)=B, cos(x)=C, then a.sin( -x) _______ b.tan(-x ) _______ c.sec(-x ) _______…

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Q: Find the exact value of sin(a – B) if sin a = and sin B= 13 and a and B are be sin(a- B) = (Type an…

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

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Q: Use identities to write the expression as a single function of x or 8. cos (0 + 270°) cos 0 -sin 8…

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Q: Establish the identity. (1−cos θ)(1+cos θ)=sin2 θ Multiply and write the left side expression as the…

A: To prove that(1−cos θ)(1+cos θ)=sin2θ

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

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Q: Find an algebraic expression equal to sin (cos-¹ (5x-3)). (You may assume that − <cos-¹ (5x − 3) <…

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Q: Verify the identity. sin (a + B) = tan a+ tan B cos a cos B Write the left side numerator in terms…

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Q: Find all possible values of each expression in radians and degrees. 9. -1 cos 10. sin -1 11. tan 12.…

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Q: Find the exact value of sin(a-ß) if sin a = and sin ß= 13 15 and a and B are between 0 and /2. 17…

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Q: Use the power reducing formulas to rewrite sin-6x cos“6x in terms of the first power of co Simplify…

A: Given expression, sin2 6x cos2 6x

Q: Verify the identity. sin-1 x + sin-1(-x) = 0 Let a - sin-1 x and 8 - sin-(-x). These equations imply…

A: Let Looking at the right triangles for these values,the following is true.