Math Problem Statement

Diketahui tan θ = 3/4, tentukan: a. sin θ b. cos θ c. sec θ d. csc θ e. cot θ 2. Tentukan nilai dari: a. sin 60° b. cos 60° c. tan 60° d. sin 225° 3. Tentukan koordinat kartesian dan kutub: a. (5, 5) b. (5, 5) 4. Carilah luas Δ ABC dari sisi a = 4 cm, b = 6 cm, c = 8 cm 5. Diketahui Δ ABC, sisi a = 30 cm, c = 50 cm, dan ∠CB = 60°; tentukan luas!

Solution

This image appears to contain a set of mathematical problems in Indonesian. Here's a breakdown of the questions:

  1. Diketahui tan θ = 3/4, tentukan: a. sin θ
    b. cos θ
    c. sec θ
    d. csc θ
    e. cot θ

  2. Tentukan nilai dari: a. sin 60°
    b. cos 60°
    c. tan 60°
    d. sin 225°

  3. Tentukan koordinat kartesian dan kutub: a. (5, 5)
    b. (5, 5)

  4. Carilah luas Δ ABC dari sisi a = 4 cm, b = 6 cm, c = 8 cm

  5. Diketahui Δ ABC, sisi a = 30 cm, c = 50 cm, dan ∠CB = 60°; tentukan luas!

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Math Problem Analysis

Mathematical Concepts

Trigonometry
Coordinate Geometry
Area of Triangle
Law of Cosines
Law of Sines

Formulas

sin θ = opposite/hypotenuse
cos θ = adjacent/hypotenuse
tan θ = opposite/adjacent
sec θ = 1/cos θ
csc θ = 1/sin θ
cot θ = 1/tan θ
Area of Triangle = 1/2 * base * height
Law of Cosines
Law of Sines

Theorems

Pythagorean Theorem
Sine and Cosine Laws

Suitable Grade Level

Grades 8-11