Trigonometry questions
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A) Give the vale of :
(i) sin^-1 (cosx ), only acute angle.
(ii) tan (sin^1 x)
(iii) tan [ tan^-1 ( x+ 1)/(x-1) + tan ^-1 (x-1 )/x
b) Solve : cos^-1 x + cos^-1 2x = 60°
c)State what is the most interesting thing learnt in studying Trigonometry and why you have select it to be introduced in your
program of study
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Hi,
Please find the explanations/solutions.
Plane Trigonometry
Final checks :
a) Give the vale of :
(i) sin^-1 (cosx ), only acute angle.
Solution:
sin^-1 (cosx ) = sin^-1 (sin( - x )) = - x
(ii) tan (sin^-1 x)
Let sin^-1 x = a
sina = x
Then
tan (sin^-1 x) = tan(a) =
(iii) tan [ tan^-1 ( x+ 1)/(x-1) + tan ^-1 (x-1 )/x]
Solution:
b) ...
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