Find sin⁡x2, cos⁡x2, and tan⁡x2 from the given information. tan⁡(x)=22, 0∘&lt;x&lt;90∘

Given data: The trigonometry function is tan⁡(x)=22. Then the interval 0∘&lt;x&lt;90∘ Solve the trigonometry function tan⁡(x)=22 tan⁡(x)=22 x=tan−1(22) =70.528∘

Substitute the values in expression sin⁡(x2) and evaluate, sin⁡(x2)=sin⁡(70.528∘2) =sin⁡(35.264∘) =0.577 Hence the value of sin⁡(x2) is 0.577.

Substitute the values in expression cos⁡(x2) and evaluate, cos⁡(x2)=cos⁡(70.528∘2) =cos⁡(35.264∘) =0.816 Hence the value of cos⁡(x2) is 0.816. Substitute the values in expression tan⁡(x2) and evaluate, tan⁡(x2)=tan⁡(35.264∘) =0.707 Hence the value of tan⁡(x2) is 0.707.

Given data: The trigonometry function is tan⁡(x)=22. Then the interval 0∘&lt;x&lt;90∘ Solve the trigonometry function tan⁡(x)=22 tan⁡(x)=22 x=tan−1(22) =70.528∘

Substitute the values in expression sin⁡(x2) and evaluate, sin⁡(x2)=sin⁡(70.528∘2) =sin⁡(35.264∘) =0.577 Hence the value of sin⁡(x2) is 0.577.

Substitute the values in expression cos⁡(x2) and evaluate, cos⁡(x2)=cos⁡(70.528∘2) =cos⁡(35.264∘) =0.816 Hence the value of cos⁡(x2) is 0.816. Substitute the values in expression tan⁡(x2) and evaluate, tan⁡(x2)=tan⁡(35.264∘) =0.707 Hence the value of tan⁡(x2) is 0.707.

Explained: "Find sin⁡x2, cos⁡x2, and tan⁡x2 from the given..."

High School
Geometry
Trigonometry
Trigonometric Functions

kramtus51

Answered question

2022-01-03

Find

\frac{\sin x}{2}, \frac{\cos x}{2}

, and

\frac{\tan x}{2}

from the given information.

\tan (x) = 2 \sqrt{2}, 0^{\circ} < x < 90^{\circ}

Answer & Explanation

jgardner33v4

Beginner2022-01-04Added 35 answers

Given data:
The trigonometry function is

\tan (x) = 2 \sqrt{2}

.
Then the interval

0^{\circ} < x < 90^{\circ}

Solve the trigonometry function

\tan (x) = 2 \sqrt{2}

\tan (x) = 2 \sqrt{2}

x = \tan^{- 1} (2 \sqrt{2})

= {70.528}^{\circ}

temnimam2

Beginner2022-01-05Added 36 answers

Substitute the values in expression

\sin (\frac{x}{2})

and evaluate,

\sin (\frac{x}{2}) = \sin (\frac{{70.528}^{\circ}}{2})

= \sin ({35.264}^{\circ})

= 0.577

Hence the value of

\sin (\frac{x}{2})

is 0.577.

karton

Expert2022-01-09Added 613 answers

Substitute the values in expression $\cos (\frac{x}{2})$ and evaluate,
$\cos (\frac{x}{2}) = \cos (\frac{{70.528}^{\circ}}{2})$
$= \cos ({35.264}^{\circ})$
$= 0.816$
Hence the value of $\cos (\frac{x}{2})$ is 0.816.
Substitute the values in expression $\tan (\frac{x}{2})$ and evaluate,
$\tan (\frac{x}{2}) = \tan ({35.264}^{\circ})$
$= 0.707$
Hence the value of $\tan (\frac{x}{2})$ is 0.707.

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