Plane Trigonometry
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In our eReader you can find the full English version of the book. Read Plane Trigonometry Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Plane Trigonometry
What reading level is Plane Trigonometry book?
To quickly assess the difficulty of the text, read a short excerpt:
Given tan fl = |, find tan 2 6.
14. Given cos 6 = f , find cot 2 6.
In a right triangle, C being the right angle, prove : 15. tan B = cot A.
16. tan 2^= ^"^ . 17. sinM-.B) + cos2^ = 0.
b^ — aF -_ cjt. i.1, i. • 2 1 — cos 2 a; j ■ m 1 — cos 4 a; 18. Show that sin'^ x = , and sin'' 2 a; = .
. _ oT, J.1, J. 9 1 + cos 2 a; j ,0 1 + cos 4 x 19. Show that cos'' x = — ■ — , and cos^ 2 a; = — ■ — .
20. Using the results of Exs. 18 and 19, transform sin* x into \ cos 4 a; — ^ cos 2 a; + f .
21. Also tra...nsform cos* a; into an expression in terms of cos 2 x and cos 4 X.
22. Also show that eos^ x may be changed to the form tV (5 + 8 cos 2 a; — 2 sin^ 2 x cos 2 a; + 3 cos 4 a;).
70. Functions of the Half Angle.
From Art. 69, cos 2 ^ = 1 - 2 sin^ A.
Hence, 2 sin^ A=\- cos 2 A.
Let A = \x; then 2 J. = x.
Hence, 2 sin^ \ x— 1 — cos x.
. • 1 . .» /l — cos 3C Similarly, from cos 2^ = 2 cos^ A — 1, we obtain, . cos ^ a; = ■± yjl±^21^.
GONIOMETRY 99 AT i. 1 sin 1 a; ^ 1 — cos Also tan4x = 2_=-j-\^^ cos^a; 1 + cosa; =^4 i.
What to read after Plane Trigonometry?
You can find similar books in the "Read Also" column, or choose other free books by Fletcher Durell to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Given tan fl = |, find tan 2 6.
14. Given cos 6 = f , find cot 2 6.
In a right triangle, C being the right angle, prove : 15. tan B = cot A.
16. tan 2^= ^"^ . 17. sinM-.B) + cos2^ = 0.
b^ — aF -_ cjt. i.1, i. • 2 1 — cos 2 a; j ■ m 1 — cos 4 a; 18. Show that sin'^ x = , and sin'' 2 a; = .
. _ oT, J.1, J. 9 1 + cos 2 a; j ,0 1 + cos 4 x 19. Show that cos'' x = — ■ — , and cos^ 2 a; = — ■ — .
20. Using the results of Exs. 18 and 19, transform sin* x into \ cos 4 a; — ^ cos 2 a; + f .
21. Also tra...nsform cos* a; into an expression in terms of cos 2 x and cos 4 X.
22. Also show that eos^ x may be changed to the form tV (5 + 8 cos 2 a; — 2 sin^ 2 x cos 2 a; + 3 cos 4 a;).
70. Functions of the Half Angle.
From Art. 69, cos 2 ^ = 1 - 2 sin^ A.
Hence, 2 sin^ A=\- cos 2 A.
Let A = \x; then 2 J. = x.
Hence, 2 sin^ \ x— 1 — cos x.
. • 1 . .» /l — cos 3C Similarly, from cos 2^ = 2 cos^ A — 1, we obtain, . cos ^ a; = ■± yjl±^21^.
GONIOMETRY 99 AT i. 1 sin 1 a; ^ 1 — cos Also tan4x = 2_=-j-\^^ cos^a; 1 + cosa; =^4 i.
What to read after Plane Trigonometry?
You can find similar books in the "Read Also" column, or choose other free books by Fletcher Durell to read onlineMoreLess
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