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Standard Values of Trigonometric Ratios

Evaluate each...

Question

Evaluate each of the following

cosec³ 30° cos 60° tan³ 45° sin² 90° sec² 45° cot 30°

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Solution

We have,

…… (1)

Now,

, , , , ,

So by substituting above values in equation (1)

We get,

Now, 2 gets cancelled and we get,

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Evaluate each of the following

$c o s e c^{3} 30^{o} c o s 60^{o} t a n^{3} 45^{o} s i n^{2} 90^{o} s e c^{2} 45^{o} c o t 30^{o}$

Q. Evaluate each of the following :

c o s e c^{3} 30^{\circ} c o s 60^{\circ} t a n^{3} 45^{\circ} s i n^{2} 90^{\circ} s e c^{2} 45^{\circ} c o t 30^{\circ}

{sin}^{2} 30^{\circ} + {sin}^{2} (90^{\circ} - 30^{\circ})

Evaluate each of the following:

$s i n^{2} 60^{\circ}$ + $s i n^{2} 45^{\circ}$ + $s i n^{2} 60^{\circ}$ + $s i n^{2} 90^{\circ}$

Q. Evaluate each of the following

4(sin⁴ 30° + cos² 60°) − 3(cos² 45° − sin² 90°) − sin² 60°

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