Find the value of x in each of the following :

tan x = sin 45° cos 45° + sin 30°

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Solution

We have,

…… (1)

Now we know that

and

Now by substituting above values in equation (1), we get,

Therefore,

…… (2)

Since,

…… (3)

Therefore by comparing equation (2) and (3)

We get,

Therefore,

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x

tan 3 x = sin 45. cos 45 + sin 30

Evaluate each of the following

$(c o s 0^{o} + s i n 45^{o} + s i n 30^{o}) (s i n 90^{o} - c o s 45^{o} + c o s 60^{o})$

(cos 0^{\circ} + sin 45^{\circ} + sin 30^{\circ}) (sin 90^{\circ} - cos 45^{\circ} + cos 60^{\circ})

s i n 30^{\circ} c o s 45^{\circ} + c o s 30^{\circ} s i n 45^{\circ}

c o s 30^{\circ} c o s 45^{\circ} - s i n 30^{\circ} s i n 45^{\circ}

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