A 10-point question on a quiz asks students to verify the identity sin x – cos x sin x - cos x. sin x + cos x One student begins with the left side and obtains the right side as follows: sin x – cosx _ sin² x_ cos x sin x - cos x. sin x + cos x sin x cos x How many points (out of 10) would you give this student? Explain your answer.

Q: Evaluate the exact value of 4 /5 tan sec 4

A: The objective is to evaluate the exact value.

Q: Verify the identity: cos2 x - sin2 x = 2 cos2 x - 1

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Q: Statement cotx (sec²x - 1) = = = cosx -(sec²x - 1) sinx cosx sinx cosx sinx sinx COS.X = tant…

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Q: What is an equivalent expression in terms of sine for cos(68)?

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Q: Prove the following useful trigonometric identities: (a) cos(a + 3) = cos(a) cos(3) - sin(a) sin(3)…

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Q: sin 0° is equal to cos 45°

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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: cos x ,2 1- cos x

A: We have to simplify the trigonometric expression  cos2x1-cos2x.

Q: For part b can you please explain how sin(k) would be the same as cos(k)

A: sin(k) and cos(k) are same in sense of there range, since the range of these function is same.…

Q: Prove the identity. cosx sin (x+ y) – sinx cos (x+y)= sin y

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Q: Which statement isnt and can never be true? MA Sinx = COS X B COSX = 0944 sinx + cosx = tan x So 0 -…

A: We choose a statement which can never be true.

Q: Find the exact value of the expression cos 5π/12 cos π/12 + sin 5π/12 sin π/12. Do not use a…

A: Let the given equation be y - y = cos5π12cosπ12+sin5π12sinπ12Let ,A = 5π12 and B = π12Then,y =…

Q: Select the best answer. sin x 1+ cosx + sin x 1+ cosx

A:

Q: Find the exact value of each expression. (a) sin 39° cos 6° + cos 39° sin 6° (b) (c) sin 75° sin ग…

A: To find the value of given expression.

Q: Verify the identity. (Simplify at each step.) (1 + cos a)(1 – cos a) = sin² a (1 + cos a)(1 – cos a)…

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Q: sin (3pi/2 + theta) = -cos (theta)

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Q: Verify the identity: csc x cos2 x + sin x = csc x.

A: the given identity is: cscx cos2x+sinx=cscx we have to verify the identity.

Q: (ii) Hence, without using a calculator, find the value of tan(22.5°

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Q: 5. Which expression is equal to O -1 O 1 sin x tan x cot x - sec x COS X using identities?

A: Trigonometry formula

Q: Verify the identity: csc x - csc x cos2 x = sin x

A: We know that, cosecx=1sinx            ⋯⋯1sin2x+cos2x=1sin2x=1-cos2x     ⋯⋯2 We have,…

Q: Which expression does (sin x)(cos 2x) + (cos x)(sin 2x) simplify to?  cos 3x  −sin x  sin 3x…

A:

Q: cos 2 -x) + cos? cos? x CSC X

A: