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Relation between Trigonometric Ratios

Evaluate each...

Question

Evaluate each of the following

2 sin² 30° − 3 cos² 45° + tan²60°

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Solution

We have to find the following expression

…… (1)

Now,

,,

So by substituting above values in equation (1)

We get,

In the above equation the first term gets reduced to

Therefore,

In the above equation the first term gets reduced to

Therefore,

Therefore,

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Q. Evaluate each of the following :

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

Evaluate each of the following

$\frac{t a n^{2} 60^{o} + 4 c o s^{2} 45^{o} + 3 s e c^{2} 30^{o} + 5 c o s^{2} 90^{o}}{c o s e c 30^{o} + s e c 60^{o} - c o t^{2} 30^{o}}$

3 {cos}^{2} 30^{\circ} + {sec}^{2} 30^{\circ} + 2 cos 0^{\circ} + 3 s i n 90^{\circ} - {tan}^{2} 60^{\circ}

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