Ex. 1. If sece + tane = 73 (0° se s...
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Ex. 1. If sece + tane = 73 (0° se s 90°) then tan 30 is (1) undefined (2) TB (3) T2 (4) 13

11th - 12th Class
Maths
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Sol. ( (1) sec theta+tan theta=sqrt{3} ) ( because sec ^{2} theta-tan ^{2}=1 ) ( Rightarrow(sec theta-tan theta)(sec theta+tan theta)=1 ) ( Rightarrow sec theta-tan theta=frac{1}{sqrt{3}} ) By subtracting (ii) from (i) ( Rightarrow sec theta+tan theta-sec theta+tan theta Rightarrow sqrt{3}-frac{1}{sqrt{3}} ) ( 2 tan theta=frac{3-1}{sqrt{3}} ) ( Rightarrow tan theta=frac{1}{sqrt{3}}=tan 30^{circ} ) ( Rightarrow theta=30^{circ} ) ( therefore tan 3 theta=tan 3 times 30^{circ}=tan 90^{circ}= ) undefined
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