SET 7 Verify that each equation is an identity. 1 1 + cos 2x – cos² x = cos² x cot? x+1 2 sec 2x = cot? x-1 3 sin(x + y) + sin(x – y) = 2 sin x cos y

Q: COS (+3 O cos x Ocos 2x O sin a Ocos z +x) + cos (-) is equivalent to:

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Q: 2 Simplify completely: sec x (1 – sin² x). sec x CO X O None of these. O 1 sin x

A: we use Trigonometry identities

Q: 2. Identify each of the following polar equations and state the correct graph: a. r 2-2 cos 0 i. ii.…

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Q: sinr cos (x - y) - cosx sin (x - )

A: As we know that the trigonometric identities: sinA-B=sinAcosB-cosAsinB   Given:…

Q: Find the exact value of each expression. 1) cos-0 V3 3) cos- 5) sin- -1 7) cos-1 1 9) sin- 1 11) cos

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Q: sin ;cos 3

A: Given: sinπ4=          ……1cos8π3=          ……2

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: Simplify: cosx sec x – cos² x O cos² x sec x sin x

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Q: 1+sin x 4 15. Evaluate o cos2 x

A: Integral of sec^2x is tanx and secxtanx is secx

Q: 3下 2 cos x 1-Sin x

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Q: csc? a + sec? æ 1 cos x sin z

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Q: |CoS tan-1 24 1꼭 + cos. -1 3

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Q: Cos 0+1 C3c 0+cot 0 Cos CSC

A: Explanation of the solution is given below...

Q: Simplify sin2 θ + tan2 θ + cos2 θ. Using fundamental identities.

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Q: Use the trigonometric identities to expand and simplify if possible. 1-cos(1) Enter…

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Q: All of the Pythagorean identities are related. Describe how to manipulate the equations to get from…

A: Pythagorean identities of trigonometric ratios are all derived from the fundamental identity:…

Q: 1-sin0 sec0-tan 0 Cos e

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Q: verify the identity seco+1 2 COS 2 - 2 sec 0

A: Verify the identity: cos2θ2=secθ+12secθ

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

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Q: cos- 0 + sin 0 = 1 COS

A: We know values of basic sin and cos, like sin0 = 0 = sinpi , sinpi/2 = 1 cos0 = 1 , cospi = -1,…