Trigonometry
Simplifying Trig Expressions
(Q1.) cos x tan x = ?
(A) tan x
(B) cot x
(C) sin x
(Q2.) sin2 x csc x sec x = ?
(A) cot x
(B) tan x
(C) sec x
(Q3.) tan x cot x = ?
(A) sec x
(B) sin x
(C) 1
(Q4.) tan x sin x = ?
(A) sin x ! cos x
(B) tan x ! sin x
(C) sec x ! cos x
(Q5.)
1
=?
csc x
(A) sin x
(B) cot x
(C) tan x
(Q6.)
tan x
=?
sin x
(A) cot x
(B) tan x
(C) sec x
(Q7.)
cot x
=?
csc x
(A) sec x
(B) cos x
(C) sin x
(Q8.) tan2 x + 1 = ?
(A) cot 2 x
(B) sec2 x
(C) sin2 x
(Q9.) csc x ! sin x = ?
(A) cot x cos x
(B) cos x sin x
(C) sin x tan x
(Q10.) csc2 ! + sec2 ! = ?
(A) csc2 ! sec2 !
(B) sin2 ! ! cos2 !
(C) cot 2 ! sin2 !
(Q11.) cos2 t ! sin2 t = ?
(A) 1 + 2 sin2 t
(B) 1 ! 2 sin2 t
(C) 1 ! 2 cos2 t
(Q12.) (1 ! sin x )(1 + sin x ) = ?
(A) cos2 x
(B) sin2 x
(C) tan2 x
(C) sec x tan x
(Q13.)
cos x
=?
1! sin x
(A)
1+ sin x
cos x
(B) cos x ! cot x
(Q14.)
1
=?
tan x + 1
(A)
1
sin x + 1
(B)
(Q15.)
sec !
!1= ?
cos !
(A) cos2 x
(B) sin2 x
(C) tan2 x
(Q16.) cot x + tan x = ?
(A) csc x sec x
(B) sin x cos x
(C) tan x sec x
1 ! sin2 x
!1= ?
(Q17.)
1 ! sin x
(A) cos x
(B) sec x
(C) sin x
(Q18.) sin4x ! cos 4 x = ?
(A) sin2x ! cos2 x (B) sin2x + cos2 x
sin x
1 + sin x
(C)
cos x
sin x + cos x
(C) 1 + sin x
(Q19.)
sec x ! cos x
=?
tan2 x
(A) cos x
(B) sec x
(C) sin x
(Q20.)
3
3
!
=?
1 ! sin x 1 + sin x
(A) 6 cot x sec x
(B) 6 tan x sec x
(C) 3 cos x csc x
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