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Sec thita plus tab thita is equal to two plus under root three then find the value of sec thita

Sec thita plus tab thita is equal to two plus under root three then find the value of sec thita

Question Image
Grade:10

1 Answers

Shashank Singh
askIITians Faculty 57 Points
4 years ago
sec theta + tan theta = 2+v3......... (1)
sec^2theta- tan^2theta = 1
so, sec theta- tan theta= 1/(2+v3)= 2-v3............... (2)
on adding (1) and (2) we get
2sec theta = 4
sec theta = 2....................... [Ans]

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