Find the exact value of the expressions cos(a + B), sin(a + B) and tan(a+ B) under the following conditions: 15 4 sin(a) =- 17 a lies in quadrant I, and sin(B) = B lies in quadrant II. 5' %3D a. cos(a + B) = (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expres b. sin(a+ B) = (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the express c. tan(a + B) = (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expressi Enter your answer in each of the answer boxes. 80 888 esc F1 F2 F3 F4

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A: We use Trigonometry identities

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A: Given that sin(θ) = 0.788 To find the approximate value of csc(θ)

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A: We need to find sin19π12. Now,              sin19π12=cosπ2-19π12=cos-13π12=cos13π12=-2+64=-21+34

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A: We use Trigonometry ratios , Double angle formulas and half angle formulas to solve these Questions

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A:

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A:

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A: we have to find the following.

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A: Solve the function

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A: I attached the picture of solution

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Q: . Find the following values without using a calculator. 1. cos () 2. sin (-) 3. cos(-57) 4. sin (5)…

A: 1)cos(11π3)=cos(4π-π3)               =cos(π3)             (cos(2nπ-∅)=cos∅)cos(11π3)=122)…

Q: Find the exact value of the following expression. TC a. sin 105° b. cos 750 C. tan 12 d. cos 12

A: Here we use half angle formula

Q: What happens when you try to find B for sin B = 4.321 on your calculator? Why doesthis happen?

A: when you try to find B for sin B = 4.321 on your calculator  You got "no solution " or invalid…

Q: Cannot solve

A: To find the value

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A: We use the quadratic formula to find θ

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Q: Given that the Sin x = E and lies in Q3, and Cos y = a and lies in Q4, find Tan (x+ y). You %3D 13…

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Q: 9. Use the appropriate identity to find the exact value of the trig function given that 5 sin a = 13…

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Q: 4. Find the exact value of (a) and (b). (a) sin (-150°) (b) cos (270°)

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Q: 14. Find sin 0, given that cos0=Y,and tan 0 <0. V5 V59 a.- 8 5 C.- 8 d

A:

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.