Question

sin(-11π/3) tan (35π/6) sec(-7π/3) / cot (3π/4) cosec (7π/4) cos(11π/6) =​

Answer 1

Answer:

(a) sin765o=sin(2(360)+45)=sin(45)

=21     [∵sin(360+θ)=sinθ].

(b) csc(−1410o)=−csc(1410)

=−csc((360)3+330)

=−csc(330)

=−[−csc(270+60)]

=sec60

=2.

(c) tan319π=tan[319×180]=tan1140

=tan[(90×12)+60]

=tan60    [∵tan(90+θ)=tanθ]

=3.

(d) sin(3−11π)=−sin(311π)

=−sin(4π−31π)

⇒−sin(3−1π)=+sin