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In any triangle we have 1 The sine law sin A / a = sin B / b = sin C / c 2 The cosine laws a 2 = b 2 + c 22 b c cos A b 2 = a 2 + c 22 a c cos B c 2 = a 2 + b 22 a b cos C Relations Between Trigonometric Functions.
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sec 2 x dx = tan x + C Proof csc 2 x dx = cot x + C Proof Inverse Trigonometric arcsin x dx = x arcsin x + (1x 2) + C arccsc x dx = x arccos x (1x 2) + C arctan x dx = x arctan x (1/2) ln(1+x 2) + C Inverse Trigonometric Result.
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Problem 2 Evaluate tan 30° csc 30° cot 30° tan 30° csc 30° cot 30 ° = tan 30° cot 30 ° csc 30 ° = 1 csc 30 ° = 2 Topic 4 Tangent and cotangent identities tan θ = sin θ cos θ cot θ = cos θ sin θ The proof is here Example 1 Show tan θ cos θ = sin θ Solution The problem means that we are to write the lefthand side and then show through substitutions and.
