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Verify the identity: sinxtanx + cosx = secx
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Awe, so that's it, you're asked to verify it? Interesting
You might start by writing tan x in its equivalent form involving sin x and cos x. Do the same for sec x (except that the sine would not be invoved for sec x).
You will need to know your fundamental identities for this.. tanx= sinx/cosx , cotx= cosx/sinx , do you have those written down?
Then to put more weight in the proof you can consider the Pythagorean Trig Identities... Starting with sin^2(x) + cos^2(x) =1
One way to verify is 1. Factor out sinx on the left side of the equation 2. Divide both sides by sin(x) 3. Last step divide through by tangent of x and you will notice a Pythagorean Trig Rule..
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