Question

if sec @=5/4 find the value of sin@-cos@÷tan@-cot@​

Answer 1

Answer:

Let me help you for this question.....

We have sec @ = $\frac{5}{4} = \frac{Hypotenuse}{Adjacent}$  and hence we need to find the 3rd side (let us consider as X) of the triangle.

=> $x^{2} + 4^{2} = 5^{2}$ and by solving the equation we get the 3rd vertex as 3

=>sin @ = 3/5 , cos@ = 4/5 , tan@ = 3/4 and cot@ = 4/3

=> Finally after substituting the values in equation we get

=> $\frac{3 - 4}{5} / \frac{9-16}{12}$

=> Hence the answer is 12/35

Hope it helps you

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