If sin θ = 1/√2, find cosec² θ

June 9, 2026Mathematics

ScanSolve AI Answer

June 9, 2026

Answer

Hili ni tatizo la trigonometry.

Step 1: Tumia uhusiano kati ya $\sin \theta$ na $\text{cosec} \theta$ . Tunajua kwamba $\text{cosec} \theta$ ni kinyume cha $\sin \theta$ . $\text{cosec} \theta = \frac{1}{\sin \theta}$

Step 2: Badilisha thamani ya $\sin \theta$ uliyopewa. Umepewa $\sin \theta = \frac{1}{\sqrt{2}}$ . $\text{cosec} \theta = \frac{1}{\frac{1}{\sqrt{2}}}$ $\text{cosec} \theta = \sqrt{2}$

Step 3: Kokotoa $\text{cosec}^2 \theta$ . Sasa, tunahitaji kupata $\text{cosec}^2 \theta$ . $\text{cosec}^2 \theta = (\sqrt{2})^2$ $\text{cosec}^2 \theta = 2$

Thamani ya $\text{cosec}^2 \theta$ ni $\boxed{2}$ .

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Quick Answer

Hili ni tatizo la trigonometry. Step 1: Tumia uhusiano kati ya na cosec .

Asked on June 9, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on June 9, 2026

Hili ni tatizo la trigonometry. Step 1: Tumia uhusiano kati ya na cosec . Tunajua kwamba cosec ni kinyume cha . cosec = (1)/( ) Step 2: Badilisha thamani ya uliyopewa. Umepewa = (1)/(sqrt(2)). cosec = (1)/(1)sqrt(2) cosec = sqrt(2) Step 3: Kokotoa cosec^2 . Sasa, tunahitaji kupata cosec^2 . cosec^2 = (sqrt(2))^2 cosec^2 = 2 Thamani ya cosec^2 ni 2. 3 done, 2 left today. You're making progress.