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Trigonometry
15. Without using a calculator, solve 2tanθ = 1/cos30° for θ, where 0°<θ<90°.
16. Without using a calculator, solve √3-2tan60°sinθ = 0 for θ, where 0°<θ<90°.
17. Without using a calculator, solve (1/2)tanθ = 2(1-sin30°)sin30° for θ, where 0°<θ<90°.
please help me to solve,thanks.
1 個解答
- 知足常樂Lv 78 年前最愛解答
15. Without using a calculator, solve 2tanθ = 1/cos30° for θ, where 0°<θ<90°.
2tanθ = 1/[√(3)/2] = 2/√3
tanθ = 1/√3
θ = 30°
16. Without using a calculator, solve √3-2tan60°sinθ = 0 for θ, where 0°<θ<90°.
√3 - 2tan60°sinθ = 0
√3 - 2√3sinθ = 0
1 - 2sinθ = 0
sinθ = 1/2
θ = 30°
17. Without using a calculator, solve (1/2)tanθ = 2(1-sin30°)sin30° for θ, where 0°<θ<90°.
(1/2)tanθ = 2(1-sin30°)sin30°
tanθ = 4(1-1/2)(1/2)
tanθ = 4(1/2)(1/2)
tanθ = 1
θ = 45°