Evaluate the following:sin 30°. cos 45° + cos 30° sin 45° f

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 Multiple Choice QuestionsShort Answer Type

161.

If sin space straight theta space equals space 3 over 4 comma prove that : square root of fraction numerator cosec squared straight theta minus 1 over denominator sec squared straight theta minus 1 end fraction end root space equals space fraction numerator square root of 7 over denominator 3 end fraction.

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162.

Evaluate the following:
sin 60°. cos 45° + cos 60° sin 45°

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163.

Evaluate the following:
sin 30°. cos 45° + cos 30° sin 45°


Solution not provided.
Ans.  fraction numerator square root of 3 plus 1 over denominator 2 square root of 2 end fraction semicolon



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164.

Evaluate the following:
3 cos2 30° + sec2 30° + 2 cos 0° + 3 sin 90° - tan2 60°

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165.

Evaluate the following:
sin2 60° + sec2 30° + sin 90° + 3 cos 0° - tan2 60°

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166.

Evaluate the following:
fraction numerator 4 space sin space 30 degree space plus space cos squared 45 degree minus 4 cos squared 60 degree over denominator 2 space sin space 30 degree. space cosec space 30 degree plus tan squared 45 degree end fraction.

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167. If cos (A - B) = 1, sin (A + B) = 1. Find A and B.
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168. If tan (A + B) = 1,  tan (A - B) = 1. Find A and B.
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169.

If sin left parenthesis straight x minus straight y right parenthesis space equals space 1 half space and space cos left parenthesis straight x plus straight y right parenthesis space equals space 1 half. Find x and y.

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170. Find the value of x in the following:
 If tan 3.x = sin 45° . cos 45° + sin 30°
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