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Solution - Trigonometric Ratios of Some Specific Angles

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Question

Find the value of x in each of the following :

(i) tan 3x = sin 45º cos 45º + sin 30º

(ii) cos x = cos 60º cos 30º + sin 60º sin 30º

Solution

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Choose the correct option and justify your choice.

`(1- tan^2 45°)/(1+tan^2 45°) `

(A) tan 90°

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Show that:

(i) `2(cos^2 45º + tan^2 60º) – 6(sin^2 45º – tan^2 30º) = 6`

(ii) `2(cos^4 60º + sin^4 30º) – (tan^2 60º + cot^2 45º) + 3 sec^2 30º = 1/4`

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