Trigonometric EquationHard

Question

If in a triangle PQR, sin P, sin Q, sin R are in AP, then

Options

A.the altitudes are in AP
B.the altitudes are in HP
C.the medians are in GP
D.the medians are in AP

Solution

     
By thr low of sine rule (say)
Alos,   ap1 = ᐃ ⇒ = p1
⇒     P1 =
Similarly,   P2 = and P3
Since, sin P, sin Q, sin R are in AP,we get that P1, P2, P3 are HP.

Create a free account to view solution

View Solution Free
Topic: Trigonometric Equation·Practice all Trigonometric Equation questions

More Trigonometric Equation Questions

3(sin x - cos x)4 + 6(sin x + cos x)2 + 4(sin6 x + cos6 x) equals to...If 0 ≤ x ≤ 2π, 0 ≤ y ≤ 2π and sin x + sin y = 2 then the value of x + y is-...If tan and tan are the roots of the equation 8x2 - 26x + 15 = 0 then cos (α + β) is equal to-...If A + B + C = π then sin 2A + sin 2B + sin 2C =...Value of 4sin 9o sin 21o sin 39o sin 51o sin 69o sin 81osin ...