Math  /  Trigonometry

QuestionIf tan(θ)=247,0θπ2\tan (\theta)=\frac{24}{7}, 0 \leq \theta \leq \frac{\pi}{2}, then sin(θ)\sin (\theta) equals \square cos(θ)\cos (\theta) equals \square sec(θ)\sec (\theta) equals \square

Studdy Solution
Calculate sec(θ)\sec(\theta) as the reciprocal of cos(θ)\cos(\theta):
sec(θ)=1cos(θ)=257\sec(\theta) = \frac{1}{\cos(\theta)} = \frac{25}{7}
The values are: sin(θ)=2425\sin(\theta) = \frac{24}{25} cos(θ)=725\cos(\theta) = \frac{7}{25} sec(θ)=257\sec(\theta) = \frac{25}{7}

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