Prove the identity sin^2 THETA + cos^2 theta =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: -(sin^2 θ + cos^2 θ)

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Q: Find sin(-theta)

A: Given,     sin θ  = -18

Q: Prove the identity on a separate sheet of paper. tan 0+ sin 0 COS cos 2. 2 tan 0

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Q: continue the steps to verify the identity after cos theta sec theta+ cos theta tan theta/ sec^2…

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Q: verify the identity 1-2sec theta-3 (sec theta)2/-(tan theta)2 = 1-3sec theta/1-sec theta

A: We have to use Pythagorean identity

Q: prove identity cos^4 (A) -sin^4 (A) = 1 - 2 sin^2(A)

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Q: (sinx/ 1-cosx)=cscx + cotx   verify the identity

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

A: The given trigonometric equation (identity) is: cos2x-sin2x=1-2sin2 x To verify this, take the left…

Q: Derive the identity 1+cot^2 theta=csc^2 by dividing x^2+y^2=r^2 by y^2

A: We divide x^2+y^2=r^2 by y^2 and simplify.

Q: Prove sinxtanx + sinx tanx 1 cosx is an identity.

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Q: Prove Sine tan 2. 1+ cose

A: Using the double angle identities we get

Q: Verify the identities.  A) (2sinx+cosx)^2 + (2cosx-sinx)^2=5 B) (cos(theta)+1)/tan^2(theta)=…

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