Property 6
\(\samefrac{\sin\alpha}{\cos\alpha}=\tan\alpha\)
\(\samefrac{\cos\alpha}{\sin\alpha}=\cot\alpha\)
\(\tan\alpha\cot\alpha=1\)
\(\sin^2\alpha+\cos^2\alpha=1\)
\(\sec\alpha=\samefrac1{\cos\alpha}\)
\(\csc\alpha=\samefrac1{\sin\alpha}\)
1.
\(0
\(4\cos x=3\sin x\)
\(tan x=?\)
2.
\(0
\(\samefrac{\cos x+\sin x}{\sin x}=\samefrac32\)
\(tan x=?\)
3.
\(0
\(\samefrac{\cos x+\sin x}{\sin x-\cos x}=2\)
\(cos x=?\)
4.
\(\tan x<1\)
\(\tan x+\cot x=\samefrac52\)
\(sin x=?\)
5.
\(\samefrac{\sin^2x}{1-\cos x}=?\)
6.
\(\samefrac{1-\tan x}{1-\cot x}=?\)
7.
\(\samefrac{1+\sin x-\cos^2x}{\sin x}=?\)
8.
\(\samefrac{(\sec x+\tan x)(1-\sin x)}{\cos x}=?\)
9.
\((\sec x+\csc x)\sin x\cos x=?\)
10.
\(\samefrac1{\sec^2x}+\sin^2x=?\)
11.
\(\left(\samefrac{\sin x-\tan x}{\sin^2x}\right)(1+\cos x)=?\)
12.
\(\samefrac{\cos x+1}{\sec x}-\cos^2x=?\)
13.
\(\samefrac{\cos^2x-\sin^2x}{2\cos^2x-1}=?\)
14.
\(\samefrac{2\cos^2x-1}{2\sin^2x-1}=?\)
15.
\(\samefrac{4-4\sin^2x+\cos^2x}{\cos^2x}=?\)