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Standard Values of Trigonometric Ratios

Evaluate each...

Question

Evaluate each of the following

$\frac{\tan 45 °}{cosec 30 °} + \frac{\sec 60 °}{\cot 45 °} - \frac{5 \sin 90 °}{2 \cos 0 °}$

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Solution

We have,

…… (1)

Now,

,,

So by substituting above values in equation (1)

We get,

Now by taking terms with denominator 2 together and solving

We get,

Now gets reduced to -2

Therefore,

Therefore,

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Q. Evaluate each of the following :

\frac{tan 45^{\circ}}{cosec 30^{\circ}} + \frac{sec 60^{\circ}}{cot 45^{\circ}} - \frac{5 sin 90^{\circ}}{2 cos 0^{\circ}}

\frac{tan 45^{\circ}}{cosec 30^{\circ}} + \frac{sec 60^{\circ}}{cot 45^{\circ}} - \frac{5 sin 90^{\circ}}{2 cos 0^{\circ}}

Q. Find the value of

\frac{tan 45^{\circ}}{c o s e c 30^{\circ}} + \frac{sec 60^{\circ}}{cot 45^{\circ}} - \frac{5 sin 90^{\circ}}{2 cos 0^{\circ}}

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$\frac{t a n 45^{o}}{c o s e c 30^{o}} + \frac{s e c 60^{o}}{c o t 45^{o}} - \frac{5 s i n 90^{o}}{2 c o s 0^{o}}$

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\frac{\tan^{2} 60 ° + 4 \cos^{2} 45 ° + 3 \sec^{2} 30 ° + 5 \cos^{2} 90 °}{cosec 30 ° + \sec 60 ° - \cot^{2} 30 °}

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