Question

Find the magnitude of angle A if , tan3A.cosecA - tan3A – cosecA +1 = 0

Answer 1

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Step-by-step explanation:

2 tan3A cos 3A - tan 3A +1- 2 cos 3A

=

tan 3A(2 cos3A - 1) - (2cos3A - 1) = 0

(tan 3A - 1)(2cos 3A - 1) = 0

- tan 3A = 1 (or) 2 cos 3A - 1 = 0

(i) When tan 3A = 1:

» tan 3A = 1

» tan 3A = tan 45

» 3A = 45

» A = 15°

(ii) When 2cos3A = 1:

» 2 cos 3A = 1

- cos 3A = 1/2

» cos 3A = cos 60

→ 3A = 60

- A = 20°

Answer 2

Answer:

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Textbook Solutions

S

( Trigonometrical ratios