Question

find the values of all the trigonometric ratios for 45 degree​

Answer 1

Answer:

The Trigonometric ratios table gives us thevalues of standard trigonometric angles such as 0°, 30°, 45°, 60°, and 90°. These values hold increased precedence as compared to others as the most important problems employ theseratios.

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Answer 2

$\sf Trigonometric \: Ratios \: of \: 45 \degree:-$

$\sf ∠A = ∠C = 45°$ ...(ASP of triangle)

$\sf AB = BC$

$\sf Let \: AB = BC = a$

$\sf Then \: by \: Pythagoras \: Theorem:-$

$\sf AC {}^{2} = {AB}^{2} + {BC}^{2}$

$\sf {AC}^{2} = {a}^{2} + {a}^{2}$

$\sf {AC}^{2} = 2 {a}^{2}$

$\sf AC = a \sqrt{2}$

$\sf sin(45°)=a/a \sqrt{2}= 1/ \sqrt{2}$

$\sf cos(45°)=a/a \sqrt{2}=1/ \sqrt{2}$

$\sf tan(45°)=a/a=1$