Question 4 Write, in simpler form: a) b) c) cos¹ x - sin¹ x tanx-cotx √2 cos x+2

Q: 1 in tan 3 +coS -1

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

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Q: Find an alternative form in terms of x for each of cos(sin- 1 x) and tan(sin- 1 x).

A: Let us make a triangle with opposite = x and hypotenuse=1 , because sin theta= opposite/hypotenuse…

Q: How does sin(2x + (pi/2)) equal cos(2x) ?

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Q: Use right triangles to explain why cos-1 x + sin-1 x = p>2.

A: given: a right angled triangle. the given expression is: sin-1(x)+cos-1(x)=π2

Q: Can you write the product as a sum or difference of 8 sin(33b)cos(24b) ?

A: The objective of the question is to express the product of two trigonometric functions, specifically…

Q: Which expression does (cos 3x)(cos x) - (sin 3x) (sin x) simplify to? O cos 4x sin 2x O cos 2x sin…

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Q: Simplify + cosx-1 cosx+ 1

A: Given, Simplify 1cos x+1+1cos x-1

Q: Verify the identity (sin x + cos x)² = 1+ sin 2x by converting the left hand side to the right. Give…

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Q: Show sin 3A = 3 sin A cos²A - sin A.

A: Explanation: Given that: sin3A=3sinAcos2A-sinA Concept: sin3A=3sinA-4sin3A sin2A+cos2A=1

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: Evaluate tan (cos-¹(-3)) 5

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Q: C) Show that 1 tan 0+cose =sin.20

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