Q22 of 186 Page 345

If cot θ = 1/√3 write the value of

Given: cot θ = 1/√3

Thus, tan θ = 1/cot θ = √3


Therefore sec θ = √(1 + tan2 θ)


= √(1 + 3)


= √(4)


= 2


Therefore sec2 θ = 4


Now, cos2 θ = 1/sec2 θ = 1/4


So, consider =


=


=


= (3/4)/(5/4)


= 3/5


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