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Introduction to Trigonometry

Short Answer Type

121. Evaluate:
sin 60°. cos 30° - cos 60°. sin 30°.

89 Views

122. Evaluate:
cos 30°. cos 45° - sin 30°. sin 45°

103 Views

123. Evaluate:
tan² 30° + tan² 45° + cos² 60°

103 Views

124. Evaluate:
cos 60°. cos 30° - sin 60°. sin 30°.

151 Views

125. Evaluate:
cos 45°.cos 30° + sin 45°. sin 30°

201 Views

126. Evaluate:
sin² 30° + 2 cos² 60° + tan² 45°

sin² 30° + 2 cos² 60° + tan² 45°
$space equals space open parentheses 1 half close parentheses squared plus 2 open parentheses 1 half close parentheses squared plus left parenthesis 1 right parenthesis squared space equals space 1 fourth plus 2 cross times 1 fourth plus 1 space equals space 1 fourth plus 1 half plus 1 space equals space fraction numerator 1 plus 2 plus 4 over denominator 4 end fraction equals 7 over 4.$

144 Views

127.

Evaluate:
$fraction numerator sin space 30 degree over denominator cos space 45 degree end fraction plus fraction numerator tan squared 45 degree over denominator sec space 60 degree end fraction minus fraction numerator sin space 60 degree over denominator cot space 45 degree end fraction minus fraction numerator cos space 30 degree over denominator sin space 90 degree end fraction$

95 Views

128. Without using trignometric tables, evaluate the following:

2 open parentheses fraction numerator cos space 58 degree over denominator sin space 32 degree end fraction close parentheses minus square root of 3 open parentheses fraction numerator cos space space 38 degree space cosec space 52 degree over denominator tan space 15 degree space tan space 60 degree space tan space 75 degree end fraction close parentheses

93 Views

129.

Evaluate:
$space space space space space space fraction numerator sin space 15 degree. space cot space 75 degree space plus space cos space 15 degree. space sin space 75 degree over denominator tan space 5 degree. space tan space 30 degree. space tan space 35 degree space tan 55 degree. space tan space 85 degree end fraction$