Question
Download Solution PDFThe value of:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The given expression =
Formula used:
cos 67° = sin (90° - 67°) = sin 23°
sin 67° = cos (90° - 67°) = cos 23°
sin2 θ + cos2 θ = 1
sec2 θ - tan2 θ = 1
Calculation:
=
=
= sin2 23° + 1 + cos2 23° + 1
= 1 + 1 + 1
= 3
∴ The value of the given expression is 3
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