History, asked by nancy359, 14 days ago

how to find values of trigonometric ratios for some specific angles​

Answers

Answered by ganeshkushwaha677
2

Answer:

take the angle of question

and

take the sin thita

cos thita

cosec thita

tan theta

cot theta

and solve the question

plz

Mark me brainlist

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Answered by lamdadenaresh5
2

Answer:

For certain specific angles such as 30°, 45° and 60°, which are frequently seen in applications, we can use geometry to determine the trigonometric ratios.

Trigonometric Ratios of 30° and 60°

Let ABC be an equilateral triangle whose sides have length a (see the figure given below). Draw AD perpendicular to BC, then D bisects the side BC.

Then,

BD = DC = a/2

∠BAD = ∠DAC = 30°

Now, in right triangle ADB, ∠BAD = 30° and BD = a/2.

In right triangle ADB, by Pythagorean theorem,

AB2 = AD2 + BD2

a2 = AD2 + (a/2)2

a2 - (a2/4) = AD2

3a²/4 = AD2

√(3a2/4) = AD

√3 ⋅ a/2 = m AD

Hence, we can find the trigonometric ratios of angle 30° from the right triangle ADB.

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