Question

1-tg(-a)/sina+cos(-a)

Answer 1

1- tg ( -a ) /sin a+ cos (- a) =1- 1/cos a + cos a

Answer 2

1 - tg(-a)/sin(a) + cos(-a)

First, let's simplify the expression by using the trigonometric identities: 1. tg(-a) = -tg(a) (tangent is an odd function) 2. cos(-a) = cos(a) (cosine is an even function)

Now, substitute these identities into the original expression: 1 - (-tg(a))/sin(a) + cos(a)

Now, simplify further: 1 + tg(a)/sin(a) + cos(a)

Next, we can use the fact that tg(a) = sin(a)/cos(a): 1 + sin(a)/cos(a)/sin(a) + cos(a)

This simplifies to: 1 + 1/cos(a) + cos(a)

Now, we can combine the terms by finding a common denominator: 1 + 1/cos(a) + cos^2(a)/cos(a)

This simplifies to: 1 + 1/cos(a) + cos(a)

Finally, we can combine the terms: (1 + cos(a) + 1)/cos(a)

This simplifies to: (2 + cos(a))/cos(a)

So, the final simplified expression is: 2/cos(a) + 1