Q2 of 164 Page 44

Simplify

cot12° cot38° cot52° cot60° cot78°.


⇒ cot 12° cot 38° tan (90–52)° tan (90–78)°

⇒ cot 12° cot 38° tan (38)° tan (12)°


⇒ cot 12° × 1 × tan (12)°


⇒ 1


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2

Simplify

 2

Simplify

cot12° cot38° cot52° cot60° cot78°.

 3

Find A if

(i) sin A = cos 30°


(ii) tan49° = cot A


(iii) tan A tan 35° = 1


(iv) sec 35° = cosec A


(v) cosec A cos 43° = 1


(vi) sin 20° tan A sec 70° = √3

 3

Find A if

(i) sin A = cos 30°


(ii) tan49° = cot A


(iii) tan A tan 35° = 1


(iv) sec 35° = cosec A


(v) cosec A cos 43° = 1


(vi) sin 20° tan A sec 70° = √3