Question 22 Prove the identity + cosA 1-cosA 1-cosA 1+ cosA = 4 cot A cosec A. Question 23 Prove the identity (sin x+1)(sin x-1)(sin² x + tan² x+ cos²x)=-1.

Q: cos 0 by 1 - sin 0 1 + sin 0 1 + sin 0 Multiply

A: Consider the given expressions. cosθ1-sinθ and 1+sinθ1+sinθ The algebraic formula is defined as.…

Q: (cose – sin0)² = 1 – 2sin@cos0 %3D

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Q: try to simplify (1+ cos²x-Sin²x)(1+tan²x) 20

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Q: -1 Determine sin=(cos a) Provide your answer be

A: cosa can be written as sin(pi/2-a) sin and sin inverse get canceled see attached image

Q: epresent 3 sin x + 6 cos x in a form A sin(x + p), use radians for p.

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Q: Find the exact value of tan [ 2 sin-1 (-12/13) ]

A: Given,  tan 2 sin-1-1213  We have to find the exact value of the above expression

Q: How is the inscribed angle theorem used in the first step to prove that opposite angles of a…

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Q: Find sin 8. tan 0 = √2 w|n 3 cos 8>0

A: given  tanθ=-23,  cosθ>0tanθ<0  and  cosθ>0, there for θ is in 4th quadrant

Q: 2 2 cos 0 d0 V1 – sin 0

A: Given:        ∫0π2cosθ1-sinθdθ substitute u=1-sinθ→dudθ=-cosθ→dθ=-1cosθdθ      =∫10-1udu…

Q: tan 0 csc 0 cos 0 = 1

A: Given,           tanθcscθcosθ=1

Q: prove sin2 a/2=csc a-cot a/2 csc a

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Q: Solve for theta to the nearest hundredth, where 0 ≤ 0 ≤ 2T 2 sin² 0 + 5 sin 0-3 = 0 a. b. C. 3 tan²…

A: a) Given:        2sin2θ+5sinθ-3=0 Let sinθ=x then 2x2+5x-3=0 This is in the form of quadratic…

Q: Find the value of tan sin 2 3 3 O-5

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Q: Verify the identity: 1 1+ sin + 1 1-sin/ = 2+2tan² 0.

A: The given identity is,

Q: Calculate the value of expression: sin- cos--2· cos- • tan 5 2

A: Explanation of the answer is as follows

Q: Suppose that csc a = and 0<a< 4 Find the exact values of cos and tan-

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Q: 1 2. - + tanx = tanx sinxcosx

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

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Q: If cos a + cos B= a and sina + sin B= b, then show that 2 sin 2a + sin 2B = 2ab 1 a2 + b2

A: given: cosα+cosβ=asinα+sinβ=b we have to show that  sin2α+sin2β=2ab1-2a2+b2 R.H.S: 2ab1-2a2+b2…

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: sin z sin- is equal to 2

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Q: (8) Find the exact value of cos(tan-1(14/3)) by sketching the appropriate right triangle.

A: Given, cos(tan-1(14/3)) = ?

Q: a) Evaluate the following: 1 - 2 - L {sin3t cos3t} , 3 - I {sinht sint}

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Q: Which of the following is an equivalent expression to sin 8-(sin )(cos²0)?

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Q: Evaluate (sin t)" cos t dt =sin't + C.

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