Use the identity cos'0 + sin 0 = 1 to prove that cosec*0 = 1 + cot 0

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: -Tt/2 S 3 sin 0 + 5 cos0 d0 -t/2

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Q: Express the number -5 in the form R(cos(0) + i sin(0)) = Reil where R>0 and 0 <0 < 2T.

A: rewrite -5 as -5=-5+0i comparing with z=a+bi a=-5 , b=0 R=a2+b2=-52+02=25+0=25=5 now…

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

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Q: 3 cos 0+3 = 2 sin² 0 when 0 ≤ 0 < 2π

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Q: cos² 0 + 3 = 4 – sin² 0 %3D

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Q: Simplify cos(arctan-1) O no solution O-V2/2 -V2/2 O V2/2

A: Solve the following

Q: Find the exact value of cos2\theta if sin2\theta =(3)/(4) and \theta is between 0\deg and 90\deg .

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Q: Solve: dr = b (cos 0 dr + r sin 6 de)

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Q: Find an algebraic formula for cos (tan-1 u + sin¬1 v), then use that formula to 1 compute cos…

A: given function ,  costan-1 u + sin-1 v  ..........................eq.(1) now we have to find an…

Q: Prove that cos 20/sin20=2cos20 |

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Q: 3) Solve the equation cos x + sin x = v3/2 for 0sx<2p

A: Topic - trigonometric Functions

Q: Is the equation 2 sin2 0 – cos 0 + 4 = 0 possible ?

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Q: Prove that sin? 0 + cosª 0 = sin“ 0 + cos² 0.

A: Using fundamental identity of trigonometry.