If angles A,B,C of a triangle ABC form an increasing AP,then sin B is ????

Asked by Saloni | 29th Jun, 2014, 11:52: AM

Expert Answer:

Sum space of space all space the space angles space of space the space triangle space is 180 to the power of degree. text Therefore , end text A plus B plus C equals 180 to the power of degree. text Also end text A comma space B comma space C text are in AP end text. L e t space d space b e space t h e space c o m m o n space d i f f e r e n c e space o f space t h e space A P. T h e r e f o r e space B space a n d space C space c a n space b e space r e p r e s e n t e d space a s comma B equals A plus d space a n d space C equals A plus 2 d. A plus B plus C equals 180 to the power of degree A plus open parentheses A plus d close parentheses plus open parentheses A plus 2 d close parentheses equals 180 to the power of degree 3 A plus 3 d equals 180 to the power of degree A plus d equals 60 to the power of degree B equals 60 to the power of degree sin B equals sin 60 to the power of degree equals fraction numerator square root of 3 over denominator 2 end fraction

Answered by Vijaykumar Wani | 30th Jun, 2014, 10:11: AM

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Trigonometric ratios of some specific angles like 0,30,45,60,90 degrees.

Trigonometric ratios of some specific angles like 0,30,45,60,90 degrees.

Trigonometric ratios of some specific angles like 0,30,45,60,90 degrees.

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