7sec theta - 5 sec theta = -4

Question

anonymous · Answer

Are we solving for theta?

anonymous · Answer

solve the following trigonometric equation pu

anonymous · Answer

6 sin^2 + 3 sin theta - 3 = 0,thanks po

anonymous · Answer

pzt.thanks

anonymous · Answer

Okay. I'm assuming that you're looking for theta.
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Original Problem
$$7\sec \theta-5\sec \theta=-4$$ 
Subtract 7secant from 5secant, because they are like quantities.
$$2\sec \theta=-4$$
Divide both sides by two (Division Property of Equality)
$$\sec \theta = -2$$
Now, because secant is the inverse of cosine (or one DIVIDED by cosine)
$$1/\cos \theta = -2$$
We inverse both sides.
$$\cos \theta=-1/2$$

anonymous · Answer

THANKS PU!!!!

anonymous · Answer

Then, we inverse cosine to find the value of theta for -1/2
$$\cos^{-1} (-.5)=1$$
So, the, we can say that:$$\theta=1$$
Now, depending on your question, you may have to find both answers, or all answers, but this should help you.

anonymous · Answer

merun pa pung isa 6sin^2 theta + 3 sin theta - 3 =0