Applying Trigonometric Identities In Exercises39 and 40, use the given function value and thetrigonometric identities to find the exact value of eachindicated trigonometric function.39. sin θ = 13(a) csc θ (b) cos θ(c) sec θ (d) tan θ40. csc θ = 5(a) sin θ (b) cot θ(c) tan θ (d) sec(90° − θ)
Trigonometric Identities
Trigonometry in mathematics deals with the right-angled triangle’s angles and sides. By trigonometric identities, we mean the identities we use whenever we need to express the various trigonometric functions in terms of an equation.
Inverse Trigonometric Functions
Inverse trigonometric functions are the inverse of normal trigonometric functions. Alternatively denoted as cyclometric or arcus functions, these inverse trigonometric functions exist to counter the basic trigonometric functions, such as sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec). When trigonometric ratios are calculated, the angular values can be calculated with the help of the inverse trigonometric functions.
Applying
39 and 40, use the given
trigonometric identities to find the exact value of each
indicated trigonometric function.
39. sin θ = 1
3
(a) csc θ (b) cos θ
(c) sec θ (d) tan θ
40. csc θ = 5
(a) sin θ (b) cot θ
(c) tan θ (d) sec(90° − θ)
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
