Question

# In an equilateral triangle ABC , match the following ratios to the values Trigonometric RatiosValues(i)tan60o(a)1√3(ii)cot30o(b)√3(iii)cosec30o(c)2(iv)sec30o(d)2√3

A

(i) -a , (ii) - a , (iii) - c , (iv) - d

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B

(i) -d , (ii) - a , (iii) - b , (iv) - d

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C

(i) -a , (ii) - b , (iii) - d , (iv) - c

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D

(i) -b , (ii) - b , (iii) - c , (iv) - d

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Solution

## The correct option is D (i) -b , (ii) - b , (iii) - c , (iv) - d Let each side of the equilateral triangle be a. Length of perpendicular AD=√3a2 tan60o=tanB=ADBD=√3 cot30o=cot(A2)=ADBD=√3 cosec30o=cosec(A2)=ABBD=2 sec30o=sec(A2)=ABAD=2√3

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