Reciprocal and quotient identities
Trigonometric ratios and identities · Mathematics
Study notes
Q: If cos θ = 4/5 (acute), find sec θ, csc θ, cot θ. sec θ = 1/cos θ = 5/4. sin θ = 3/5, so csc θ = 5/3. cot θ = cos/sin = (4/5)/(3/5) = 4/3.
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Trigonometric ratios and identities · Mathematics
Q: If cos θ = 4/5 (acute), find sec θ, csc θ, cot θ. sec θ = 1/cos θ = 5/4. sin θ = 3/5, so csc θ = 5/3. cot θ = cos/sin = (4/5)/(3/5) = 4/3.