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Question

Mathematics Question on Trigonometric Ratios of Some Specific Angles

Choose the correct option and justify your choice: 1tan245°1+tan245°=\frac{1 - tan^2 45°}{1 + tan^2 45°} =

A

tan 90°

B

1

C

sin 45°

D

0

Answer

0

Explanation

Solution

1tan245°1+tan245°\frac{1 - tan² 45°}{1 + tan² 45°}

=1(1)21+(1)2= \frac{1 - (1)²}{1 + (1)²}

=(11)(1+1)= \frac{(1 - 1)}{(1 + 1)}

=02= \frac{0}{2}
= 0

Hence, option (D) is correct.