Question

find the trigonomantri functions of an gal 45'​

Answer 1

Step-by-step explanation:

If an acute angle of a right triangle is 45°, then the other acute angle is also 45°.

Thus the triangle is isosceles. Let us consider the triangle ABC with

∠B = 90°

∠A = ∠C = 45°

Then AB = BC.

Let AB = BC = a.

By Pythagorean theorem,

AC2 = AB2 + BC2

AC2 = a2 + a2

AC2 = 2a2

Take square root on each side.

AC = a√2

Hence, we can find the trigonometric ratios of angle 45° from the right triangle

sin 45 ° = 1/√2

cos 45 ° = 1/√2

tan 45 ° = 1

sec 45 ° = 1

cosec 45 ° = √2

cot 45 ° = √2

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