Evaluate :(i) 23 cos4 30-sin4 45°-3sin2 60°-sec2 45°+14cot2 30°(ii) 4sin4 30°+cos4 60°-23sin2 60°-cos2 45°+12 tan2 60°(iii) sin 50°cos 40°+cosec 40°sec 50°-4 cos 50° cosec 40°(iv) tan 35° tan 40° tan 45° tan 50° tan 55°(v) cosec (65° + θ) − sec (25° − θ) − tan (55° − θ) + cot (35° + θ)(vi) tan 7° tan 23° tan 60° tan 67° tan 83°(vii) 2 sin 68°cos 22°-2 cot 15°5 tan 75°-3 tan 45° tan 20° tan 40° tan 50° tan 70°5(viii) 3 cos 55°7 sin 35°-4cos 70° cosec 20°7tan 5° tan 25° tan 45° tan 65° tan 85°(ix) sin 18°cos 72°+3 tan 10° tan 30° tan 40° tan 50° tan 80°(x) cos 58°sin 32°+sin 22°cos 68°-cos 38° cosec 52°tan 18° tan 35° tan 60° tan 72° tan 55°(xi) 3 tan 41°cot 49°2-sin 35° sec 55°tan10° tan20° tan60° tan70° tan80°2

Evaluate :(i) 23 cos4 30-sin4 45°-3sin2 60°-sec2 45°+14cot2 30°(ii

1.	Evaluate :(i) 23 cos4 30-sin4 45°-3sin2 60°-sec2 45°+14cot2 30°(ii) 4sin4 30°+cos4 60°-23sin2 60°-cos2 45°+12 tan2 60°(iii) sin 50°cos 40°+cosec 40°sec 50°-4 cos 50° cosec 40°(iv) tan 35° tan 40° tan 45° tan 50° tan 55°(v) cosec (65° + θ) − sec (25° − θ) − tan (55° − θ) + cot (35° + θ)(vi) tan 7° tan 23° tan 60° tan 67° tan 83°(vii) 2 sin 68°cos 22°-2 cot 15°5 tan 75°-3 tan 45° tan 20° tan 40° tan 50° tan 70°5(viii) 3 cos 55°7 sin 35°-4cos 70° cosec 20°7tan 5° tan 25° tan 45° tan 65° tan 85°(ix) sin 18°cos 72°+3 tan 10° tan 30° tan 40° tan 50° tan 80°(x) cos 58°sin 32°+sin 22°cos 68°-cos 38° cosec 52°tan 18° tan 35° tan 60° tan 72° tan 55°(xi) 3 tan 41°cot 49°2-sin 35° sec 55°tan10° tan20° tan60° tan70° tan80°2
Answer» Evaluate : (i) $\frac{2}{3} (\cos^{4} 30 - \sin^{4} 45 °) - 3 (\sin^{2} 60 ° - \sec^{2} 45 °) + \frac{1}{4} \cot^{2} 30 °$ (ii) $4 (\sin^{4} 30 ° + \cos^{4} 60 °) - \frac{2}{3} (\sin^{2} 60 ° - \cos^{2} 45 °) + \frac{1}{2} \tan^{2} 60 °$ (iii) $\frac{\sin 50 °}{\cos 40 °} + \frac{cosec 40 °}{\sec 50 °} - 4 \cos 50 ° cosec 40 °$ (iv) tan 35° tan 40° tan 45° tan 50° tan 55° (v) cosec (65° + θ) − sec (25° − θ) − tan (55° − θ) + cot (35° + θ) (vi) tan 7° tan 23° tan 60° tan 67° tan 83° (vii) $\frac{2 \sin 68 °}{\cos 22 °} - \frac{2 \cot 15 °}{5 \tan 75 °} - \frac{3 \tan 45 ° \tan 20 ° \tan 40 ° \tan 50 ° \tan 70 °}{5}$ (viii) $\frac{3 \cos 55 °}{7 \sin 35 °} - \frac{4 (\cos 70 ° cosec 20 °)}{7 (\tan 5 ° \tan 25 ° \tan 45 ° \tan 65 ° \tan 85 °)}$ (ix) $\frac{\sin 18 °}{\cos 72 °} + \sqrt{3} \{\tan 10 ° \tan 30 ° \tan 40 ° \tan 50 ° \tan 80 °\}$ (x) $\frac{\cos 58 °}{\sin 32 °} + \frac{\sin 22 °}{\cos 68 °} - \frac{\cos 38 ° cosec 52 °}{\tan 18 ° \tan 35 ° \tan 60 ° \tan 72 ° \tan 55 °}$ (xi) ${(\frac{3 \tan 41 °}{\cot 49 °})}^{2} - {(\frac{\sin 35 ° \sec 55 °}{\tan 10 ° \tan 20 ° \tan 60 ° \tan 70 ° \tan 80 °})}^{2}$

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