Could I get some help with my trig hw Im having a hard time

Could I get some help with my trig hw? Im having a hard time with this chapter and the book is no help

Pg (70)

3. Suppose that you are given a system of two equations of the following form:1 A cos = B1 B2 cos A sin = B2 sin . Show that A 2 = B 2 ¡ 2 1 + 2 2 212 cos ¢ .

prove the given identity. 5. sin cot = cos

7. csc / sin = csc^2

9. (1 2 cos^2)/ (sin cos ) = tan cot

11. cos^4 sin^4 = 1 2 sin^2

13. tan + tan / cot + cot = tan tan

15. 1 tan^2 / 1 cot^2 = 1 sec^2

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PG (76)

find the exact values of sin (A +B), cos (A +B), and tan (A +B).

3. sin A = 40 / 41 , cos A = 9 / 41 , sin B = 20 / 29 , cos B = 21 /29

5. Use 15 = 45 30 to find the exact value of tan 15 .

prove the given identity.

7. cos (A +B +C) = cos A cos B cos C cos A sin B sin C sin A cos B sin C sin A sin B cos C

9. cot (A +B) = cot A cot B 1 / cot A + cot B

11. tan ( +45 ) = 1 + tan / 1 tan

13. cot A + cot B = sin (A +B) / sin A sin B

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pg (89)

Convert the given angle to radians

1. 4

3. 130

5. 108

7. ( / 5) rad

9. (29 / 30) rad

Solution

Page 70

5) sin cot = sin (cos/sin) = cos

7) csc/ sin = csc/(1/csc) = csc csc = csc²

9)  (1 2cos²)/ (sin cos ) = (1 - cos² - cos²)/ (sincos) = (sin² - cos²)/(sincos) = sin/cos - cos/sin = tan - cot

11) cos⁴ sin⁴ = (cos²)² - (sin²)² = (cos² - sin²)(cos² + sin²) = (cos² - sin²) = 1 - sin² - sin² = 1 - 2sin²

13) (tan + tan)/(cot + cot) = (tan + tan)/(1/tan + 1/tan) = (tan + tan)/((tan + tan)/tantan) = tantan

15) (1 tan²)/(1 cot²) = (1 - tan²)/(1 - 1/tan²) = (1 - tan²)tan²/(tan² - 1) = -tan² = -(sec² -1 ) = 1 - sec²