If A is an acute angle and cotA + cosecA = 3, then the value of sinA is?
A. 1
B. $$\frac{4}{5}$$
C. $$\frac{3}{5}$$
D. 0
Answer: Option C
Solution(By Examveda Team)
$$\eqalign{ & {\text{According to the question,}} \cr & {\text{cosec A}} + {\text{cot A}} = 3 \cr & {\text{cosec A}} - {\text{cot A}} = \frac{1}{3} \cr & \overline {2{\text{cosec A}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{{10}}{3}} \cr & {\text{cosec A}} = \frac{{10}}{6} \cr & {\text{sin A}} = \frac{6}{{10}} \cr & {\text{sin A}} = \frac{3}{5} \cr} $$Related Questions on Trigonometry
A. x = -y
B. x > y
C. x = y
D. x < y
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