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Standard Values of Trigonometric Ratios

Evaluate each...

Question

Evaluate each of the following

(cosec² 45° sec² 30°) (sin² 30° + 4 cot² 45° − sec² 60°)

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Solution

We have,

…… (1)

Now,

, , , ,

So by substituting above values in equation (1)

We get,

Now, in above equation 4 cancel 8 and 2 remains

Hence,

Therefore,

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Similar questions

Evaluate each of the following

$(c o s e c^{2} 45^{o} s e c^{2} 30^{o}) (s i n^{2} 30^{o} + 4 c o t^{2} 45^{o} - s e c^{2} 60^{o})$

$(s i n^{2} 30^{\circ} + 4 c o t^{2} 45^{\circ} - s e c^{2} 60^{\circ}) (c o s e c^{2} 45^{\circ} s e c^{2} 30^{\circ})$

Q. (sin²30° + 4cot²45° − sec²60°) = ?
(a) 0
(b)

\frac{1}{4}

{cos}^{2} 60^{\circ} {sin}^{2} 30^{\circ} + {tan}^{2} 30^{\circ} {cot}^{2} 60^{\circ}

Q. Evaluate each of the following

\cot^{2} 30 ° - 2 \cos^{2} 60 ° - \frac{3}{4} \sec^{2} 45 ° - 4 \sec^{2} 30 °

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