# In a right-angled triangle FCD, the angle C is 90 °; FC = 24cm; CD = 7cm. Find sin D; cos D; tg D.

Let us determine the tangent of angle D through the lengths of the legs.

tgD = FC / CD = 24/7 = 3 (3/4).

From the right-angled triangle CFD, determine the length of the hypotenuse FD.

FD ^ 2 = FC ^ 2 + CD ^ 2 = 24 ^ 2 + 7 ^ 2 = 576 + 49 = 625.

FD = 25 cm.

Let’s define CosD and SinD.

CosD = CD / FD = 7/25.

SinD = FC / FD = 24/25.

Answer: SinD = 24/25, CosD = 7/25, tgD = 3 (3/4).

One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.
The text passage contains a mathematical problem involving a right-angled triangle and provides a detailed solution to find the sine, cosine, and tangent of one of the angles. The solution is followed by a general statement about the importance of education.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# In a right-angled triangle FCD, the angle C is 90 °; FC = 24cm; CD = 7cm. Find sin D; cos D; tg D.

Let us determine the tangent of angle D through the lengths of the legs.

tgD = FC / CD = 24/7 = 3 (3/4).

From the right-angled triangle CFD, determine the length of the hypotenuse FD.

FD ^ 2 = FC ^ 2 + CD ^ 2 = 24 ^ 2 + 7 ^ 2 = 576 + 49 = 625.

FD = 25 cm.

Let’s define CosD and SinD.

CosD = CD / FD = 7/25.

SinD = FC / FD = 24/25.

Answer: SinD = 24/25, CosD = 7/25, tgD = 3 (3/4).

One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.
user
The text passage contains a mathematical problem involving a right-angled triangle and provides a detailed solution to find the sine, cosine, and tangent of one of the angles. The solution is followed by a general statement about the importance of education.

TYPE: SINGLE_QUESTION_WITH_ANSWER