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The value of sin238° + sin252° + sin230° - tan245° is equal to:
Answer & Solution
Correct Answer:
Option
B
sin238° + sin252° + sin230° - tan245°
= sin238° + cos238° + $${\left( {\frac{1}{2}} \right)^2}$$ - 1 [Here sin2θ + cos2θ = 1]
= 1 + $$\frac{1}{4}$$ - 1
= $$\frac{1}{4}$$
= sin238° + cos238° + $${\left( {\frac{1}{2}} \right)^2}$$ - 1 [Here sin2θ + cos2θ = 1]
= 1 + $$\frac{1}{4}$$ - 1
= $$\frac{1}{4}$$
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