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Question

(a) Without using trigonometric tables evaluate:
sin 35 cos 55+cos 35 sin 55cosec2 10tan2 80

(b) Evaluate without using trigonometric tables:
cos2 26+cos 64 sin 26+tan 36cot 54 [6 MARKS]


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Solution

Each Part: 3 Marks

(a) =sin 35 cos 55+cos 35 sin 55cosec2 10tan2 80

=sin 35 cos(9035)+cos 35 sin(9035)cosec2 10tan2(9010)

=sin 35. sin 35+cos 35. cos 35cosec2 10cot2 10

=sin2 35+cos2 351=11=1


(b) cos2 26+cos(9026)sin 26+tan 36tan 36

=cos2 26+sin 26 sin 26+tan 36tan 36

=cos2 26+sin2 26+1=1+1=2


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