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Find the distance between the points A (10 cos θ, 0) and B (0, 10 sin θ)

If cos(A+B)=0 and sin(A−B)=1/2, then find the value of A and B.

The sum of an infinite GP is 57 and the sum of their cubes is 9747 . Find the GP.

For any complex number z prove that |Re(z)|+|Im(z)|≤√2|z|

Find the equation of the medians of the triangle ABC whose vertices are A(2,5)B(−4,9)and C(−2,−1).

If secx+tanx=p, obtain the value of secx , tanx and sinx in term of p.

Prove that: sec2x+cosec2x≥4

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