Mathematics: In right triangle hjk, angle j is a right angle and tan angle h = 1. which statement about triangle hjk must be true? a. sin angle h =1/2. b. sin angle h = 1. c. sin angle h = cos angle h. d. sin angle h = 1 divided by cos angle h

65.77π x 663.23455π / 9π = (65.77 x 663.23455 / 9) π = 4,846.770706... π (rounded) = 15,226.57924 (rounded)...

In right triangle hjk, angle j is a right angle and

Ответ:

jb141553

01.01.2022

Mathematics

C. $sin(\angle H)=cos(\angle H)$

Step-by-step explanation:

Givens

$\triangle HJK$ is a right triangle.

$m \angle J = 90\°$

$tan (\angle H) = 1$

We this information, we can deduct that the opposite leg to $\angle H$ is JK, and the adjacent leg to $\angle H$ is JH. So, if $tan (\angle H) = 1$ , this means that both legs are equal, because to result the tangent in 1, both legs have to be equal

$tan(\angle H) = \frac{JK}{JH}=1$

Also, we can deduct that the angle $\angle H$ is equal to 45°, because when the tangent is equal to one unit, that means the triangle is symmetric, which means that its angles are 45°.

So, with knowing the measure of $\angle H$ , we can find the rest of trigonometric reasons

$sin(\angle H)=sin (45\°)=\frac{\sqrt{2} }{2} \\\\cos(\angle H)=cos(45\°)=\frac{\sqrt{2} }{2}$

Basically, this means that both reasons are equal

$sin(\angle H)=cos(\angle H)$

Therefore, the right answer is C.

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In right triangle hjk, angle j is a right angle and tan angle h = 1. which statement about triangle hjk must be true? a. sin angle h =1/2. b. sin angle h = 1. c. sin angle h = cos angle h. d. sin angle h = 1 divided by cos angle h

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