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Question 62
The value of $$(sec^{2}45^\circ-cot^{2}45^\circ)-(sin^{2}30^\circ+sin^{2}60^\circ)$$ is
Solution
Expression : $$(sec^{2}45^\circ-cot^{2}45^\circ)-(sin^{2}30^\circ+sin^{2}60^\circ)$$
= $$[(\sqrt{2})^2-(1)^2]-[(\frac{1}{2})^2+(\frac{\sqrt{3}}{2})^2]$$
= $$(2-1)-(\frac{1}{4}+\frac{3}{4})$$
= $$1-1=0$$
=> Ans - (C)
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