Barsha Yadav

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If z is a complex number, prove that -|z| ≤ Re(z) ≤ |z| and -|z| ≤ Im(z) ≤|z|.

If z = 4 + i and w = 1 + 3i, plot the number z + w. Also show that lz| + | w| > |z+ w|

In a triangle ABC if a = 13, b = 14, c = 15, find sin A/2 , cos A/2 , tan A/2

Prove that a2, b2, c2are in A.P. if sin A: sin C = sin (A - B): sin (B-C).

If a = 2, b = √6, A = 45°, solve the triangle.

Prove that: c2cos2B + b2cos2C + bc cos(B-C) = 1/2 (a2+ b2+c2)

Express 6(cos30° + sin30°) in the form x + iy.