Answer :

(i) sin A = sin (90–30)°


sin A = sin 60°


A = 60


(ii) cot(90–49) = cot A


cot 41 = cot A


A = 41


(iii) tan A = 1/ tan35°


tan A = cot 35°


tan A = tan (90–35)


tan A = tan 55


A = 55


(iv)cosec(90–35) = cosec A


cosec 55 = cosec A


A = 55


(v) cosec A = 1/ cos 43°


cosec A = sec 43°


cosec A = cosec (90–43)


cosec A = cosec 47


A = 47


(vi) sin 20° tan A cosec(90–70) = √3


sin 20° tan A cosec 20° = √3


tan A = 3


tan A = tan 60°


A = 60°


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