cosec20 - sec20=

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cosec20 - sec20=

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Understand Trigonometric Identities: Understand the trigonometric identities. Cosecant is the reciprocal of sine, and secant is the reciprocal of cosine. Therefore, cosec(θ) = 1/sin(θ) and sec(20 degrees) = 1/cos(20 degrees).Calculate Sine and Cosine: Calculate the value of sine and cosine for 20 degrees. Unfortunately, sine and cosine of 20 degrees are not standard angles for which we have exact values. They can be calculated using a calculator or trigonometric tables.Express Using Reciprocal Identities: Express the original problem using the reciprocal identities. cosec(20 degrees) - sec(20 degrees) = 1/sin(20 degrees) - 1/cos(20 degrees)Find Common Denominator: Find a common denominator to combine the fractions. The common denominator for sin(20 degrees) and cos(20 degrees) is sin(20 degrees) * cos(20 degrees). So, (1/sin(20 degrees) - 1/cos(20 degrees)) becomes (cos(20 degrees) - sin(20 degrees)) / (sin(20 degrees) * cos(20 degrees)).Calculate Values: Calculate the value of sin(20 degrees) and cos(20 degrees) using a calculator. sin(20 degrees) ≈ 0.34202 cos(20 degrees) ≈ 0.93969Substitute Values: Substitute the values into the expression. (cos(20 degrees) - sin(20 degrees)) / (sin(20 degrees) * cos(20 degrees)) ≈ (0.93969 - 0.34202) / (0.34202 * 0.93969)Perform Calculations: Perform the calculations. (0.93969 - 0.34202) ≈ 0.59767 (0.34202 * 0.93969) ≈ 0.32139 Now, divide the difference by the product: 0.59767 / 0.32139 ≈ 1.85925

$\csc 20^\circ - \sec 20^\circ=$

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csc⁡20∘−sec⁡20∘=\csc 20^\circ - \sec 20^\circ=csc20∘−sec20∘=

$\csc 20^\circ - \sec 20^\circ=$