Variable Substitution Solve for theta over (0,2pi). 2sin2 x + sinx - 1 = 0 into 2u2 + u - 1 = 0 Let u = sinx

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: verie The ldentit 1-Sine Cose ८० ५० 2sece 1-21ne

A: Firstly, wesimplify left hand side of equation by adding two fractions.

Q: 8. If sinx = , x is in quadrant II, then the value of cos2x is %3D 17 b) -161 30 161 353 a) 289 c)…

A: Given : sin x = 817 x is in quadrant II.     To find the value of cos 2x.

Q: sin(theta/2) -1 =0

A: Given query is to find the angle.

Q: Cosx 1+sinx 11. 1+sinx 2secx Cosx

A:

Q: - sin sin -y = sin (x+y) Prove that cos Xcos 4 -y 4 -x sin 4 X - 4

A:

Q: 8r2 te V1-4.a

A:

Q: 1/ 1-sin t + 1/ 1+sin t   Use trignometric identites to write the expression in terms of a single…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.