Sovi AI

題目

解題步驟

1. Understand the question

   question 1-6
   in $\\triangle jkl$, $m\\angle l = 90^\\circ$. if $\\sin j = 0.6$, what is the value of $\\cos k$ to the nearest tenth?
   enter the correct answer in the box.

2. Explanation

   Step1: Analyze the right triangle

   In right triangle \( \triangle JKL \) with \( \angle L = 90^\circ \), the sum of the other two angles \( \angle J \) and \( \angle K \) is \( 90^\circ \) (since the sum of angles in a triangle is \( 180^\circ \), and \( \angle L = 90^\circ \)). So \( \angle J + \angle K = 90^\circ \), which means \( \angle K = 90^\circ - \angle J \).

   Step2: Use the co - function identity

   We know the co - function identity \( \cos(90^\circ - \theta)=\sin\theta \). Let \( \theta=\angle J \), then \( \cos K=\cos(90^\circ - \angle J) \). By the co - function identity, \( \cos(90^\circ - \angle J)=\sin\angle J \).

   Step3: Substitute the given value

   We are given that \( \sin J = 0.6 \). Since \( \cos K=\sin J \), then \( \cos K = 0.6 \).

3. Final answer

   \( 0.6 \)

答案

Question Analysis

OCR Text

question 1-6
in $\\triangle jkl$, $m\\angle l = 90^\\circ$. if $\\sin j = 0.6$, what is the value of $\\cos k$ to the nearest tenth?
enter the correct answer in the box.

相關知識點

關聯題目

• use an area model to solve 31 × 26. multiply in the area model.

  Top-left cell: 180 Top-right cell: 6 Bottom-left cell: 600 Bottom-right cell: 20 Final product: 806

• 6. solve each equation. write each solution as a fraction and as a deci…

  | Equation | Solution (Fraction) | Solution (Decimal) | |----------|---------------------|--------------------| | $2x=3$ | $\frac{3}{2}$ | $1.5$ | | $5y=3$ | $\frac{3}{5}$ | $0.6$…

• Ok

  - Fila 2: Circular el par (5, 2). - Fila 3: Circular el par (3, 3) (o la tarjeta con 3 y la otra con 4 dibujos, pero los números son 3 y 3? Wait, la tercera fila: primera tarjeta …

• How do you solve pemdas

  It's basically just a checklist so you don't get mixed up when a math problem has a bunch of stuff going on at once. You just go down the list in order: 1. **P**arentheses: Do any…

• which number line models $-1 + (-14)$? add. $-1 + (-14) = \\square$

  \(-15\)

• 11 et 12

  The initial number of bacteria is 5. ### Turn 2 Answer Ça marche, regardons ça ! On dirait que tu es en plein dans les maths financières. Pour le **numéro 11**, on cherche le taux…

• a shelf is supported on a wall by a triangular bracket with the dimensi…

  \( 42.5 \)

• question 1-9 in △abc, m∠a = 90°. if cosb = 0.8, what is the value of si…

  \( 0.8 \)

Sovi AI iOS

官網：mysovi.ai。題庫頁面網域：question-banks.mysovi.ai。iOS 應用透過 Apple App Store 提供。