First slide

Trigonometric Identities

Question

Which of the following is possible in $∆$ ABC?

Moderate

A

$\cos A + \cos B + \cos C = \frac{3}{2}$
B

cos A cos B cos C= 0
C

$\sin A + \sin B + \sin C = \sqrt{2} + 1$
D

$\sin Asin Bsin C = - \frac{3}{8}$

Solution

$(1) A = B = C = \frac{π}{3}$
(2) Right angled triangle
$(3) A = B = \frac{π}{4}, C = \frac{π}{2}$
(4) Not possible as sin A, sin B, sin C > 0

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