The sine, cosine, and tangent ratios each have a reciprocal ratio. The reciprocal ratios are cosecant (csc), secant (sec), and cotangent (cot). Use AABC and the definitions below to write the ratio sec A. 39 15 csc X= sec X= cos X cot X= tan X sin X 36 13 sec A= 5 (Type an integer or a simplified fraction.)

Q: In your answer, rationalize the denominator and write it in simplest form. If tan(θ)=3/5, and θ is…

A: Given data is : tanθ=35 To find the value of cosθ

Q: Use the reciprocal identities and ratio identities to write an equivalent expression that uses only…

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Q: Use reference angles to find the exact value of the expression cot(7π/4). Do not use a calculator.

A: Given expression is cot7π4.

Q: Write csc θ tan θ in terms of sin θ and cos θ

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Q: Find the SIN and TAN (in fractional form) of an acute angle with COS = 3/5

A: We can find the sin and tan values as below

Q: Use AMNP, as needed, to complete the given parts. Part 1: Let h be the height of AMNP. Find the…

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Q: Find csc θ if cot θ = −48/55 and sin θ > 0.

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Q: Simplify without using a calculator. Tan(31 degrees) - cos(59 degrees) / cos (31 degrees) =

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Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.