if sec theta+ tan theat =x , write the value of sec theta - tan theta in terms of X

Asked by sy2121426 | 20th Jul, 2020, 07:57: PM

Expert Answer:

To fnd sec theta - tan theta in terms of x when sec theta + tan theta = x
 
We space know space that space sec squared straight theta minus tan squared straight theta equals 1
rightwards double arrow open parentheses sec space straight theta space minus space tan space straight theta subscript blank close parentheses open parentheses sec space straight theta space plus space tan space straight theta close parentheses equals 1
rightwards double arrow sec space straight theta space minus space tan space straight theta equals fraction numerator 1 over denominator sec space straight theta space plus space tan space straight theta end fraction equals 1 over straight x
Hence comma space sec space straight theta space minus space tan space straight theta equals 1 over straight x

Answered by Renu Varma | 21st Jul, 2020, 01:12: PM