" Hañ AHTe 39cos((7pi )/(2)+alpha ) , ecjin cosalpha =-(5)/(13)H alpha in (0,5pi ;pi )

Question

Answer 1

To solve the given expression, we need to find the value of

that satisfies the equation

, where

.First, let's simplify the expression

:

So, the expression becomes

.Now, we have the equation

.We can use the Pythagorean identity

to find the value of

:

Taking the square root of both sides, we get:

Since

, we know that

. Therefore,

.Now, we can find the value of

by taking the inverse sine of

:

Therefore, the value of

that satisfies the given equation is

.

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