Question

If cosA=1/3 then
find the value of
2 cot ^(2) A+2

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Answer 1

Answer:

cos A= 1/3

then from the figure

cot A = adjacent side / opposite side ===> 1/2√2

cot²A= (1/2√2)² ==> 1/8

now 2 cot²A===> 2/8 ==> 1/4

now 1/4 + 2 ===> 9/4 is the required answer

Answer 2

Answer:18

Explanation:sinθ=1/3⟹cosecθ=3

2cot  

2

θ+2=2(1+cot  

2

θ)=2cosec  

2

θ=2(9)=18