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Question
`(1 - tan^2(45^circ - A))/(1 + tan^2(45^circ - A))` is equal to ______.
Options
sin 2A
cos 2A
tan 2A
cot 2A
MCQ
Fill in the Blanks
Solution
`(1 - tan^2(45^circ - A))/(1 + tan^2(45^circ - A))` is equal to sin 2A.
Explanation:
`(1 - tan^2(45^circ - A))/(1 + tan^2(45^circ - A))`
= `(cos^2 (45^circ - A) - sin^2 (45^circ - A))/(cos^2 (45^circ - A) + sin^2 (45^circ - A))`
= `(cos 2 (45^circ - A))/1`
= sin 2A
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Trigonometric Functions of Triple Angle
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