cot theta. tan theta (90°-theta) - sec(90°-theta) cosec theta +(sin25+sin^2 65)+rootof (tan5°. tan15°. tan30°. tan75°. tan85°) is
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We have,
cotA tan(90°−A)−sec(90°−A)cosec A+3√tan12°tan60°tan78°
=cotA cotA −cosecA cosecA+3√tan12°×3√ tan(90°−12°)
=cot2A−cosec2A+3tan12° cot12°=−(cosec2A−cot2A)+3×1
=−1+3
=2
cotA tan(90°−A)−sec(90°−A)cosec A+3√tan12°tan60°tan78°
=cotA cotA −cosecA cosecA+3√tan12°×3√ tan(90°−12°)
=cot2A−cosec2A+3tan12° cot12°=−(cosec2A−cot2A)+3×1
=−1+3
=2
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