Apply the concept of the unit circle to define sin (0) and cos (0)]. therefore show that sin^2 0 + cos^2 0 = 1

Q: Solve the equation for the values of theta between [0,2pi) 2 cos^2 θ - cos θ - 1 = 0

A: Given Data: Equation:  2 cos2 θ - cos θ - 1 = 0 Interval: [0, 2π) Factorise the given equation.…

Q: () V3 е) Cos b) sin'(0) h) tan 13

A: (b) We have to find angle of sin-10. Let θ=sin-10 ⇒sinθ=0 We know that sinx has its value 0 at x=nπ,…

Q: verify the trigonometric identites 2-cos2 x/sinx= cscx +sinx

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Q: Using Euler' formula, show that sin 2x = 2 sin x cosx

A: Euler's Formula used.

Q: Verify the identity: sin²x (1+ncot²x) + cos²x (1+tan²x) = sin²x(n+cot²x) + cos²x(n+tan²x)

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Q: 57 sin 6 (똥 + 미) =글(c8 )%3D (cos w - V3 sin w) -

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Q: (a) sin-'(-) (b) csc-1(-/2) (c) cos-1 (cos(-쪽)) (d) sec(tan-(-$) COS

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Q: Answer in term of "u" : cos(sin^(-1)(u))

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Q: Assume a is positive, find cos(tan-) (show your work)

A: Given, x is positive To find cos(tan-1x)

Q: 7. Verify the following: (sec0 + csc®)(cos0 – sin0) = cot0 – tan0

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

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Q: Find the exact Value of -1 Cos (tan'a + Sin ¹ 1/27) 13

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