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प्रश्न
Verify the following equalities:
1 + tan2 30° = sec2 30°
उत्तर
tan 30° = `1/sqrt(3)`, sec 30° = `2/sqrt(3)`
L.H.S = 1 + tan2 30°
= `1 + (1/sqrt(3))^2`
= `1 + (1/3)`
= `((3 + 1)/3)`
= `4/3`
R.H.S = sec2 30°
= `(2/sqrt(3))^2`
= `4/3`
∴ L.H.S = R.H.S
Hence it is proved.
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