Geometry

Fundamental Trigonometric Identities

Fundamental Trigonometric Identities: Level 2 Challenges

         

Find the value of

cos245+sin245.\cos^2 45^{\circ} +\sin^2 45^{\circ}.

Simplify tan(A+π2). \tan\left(A + \frac{\pi}{2}\right).

If sinA+sin2A=1,\sin A +\sin^{2}A=1, find the value of cos2A+cos4A.\cos ^{2} A + \cos ^{4} A.

ln(tan1)+ln(tan2)++ln(tan88)+ln(tan89)= ?\ln(\tan1^{\circ})+ \ln(\tan2^{\circ})+\ldots+\ln(\tan88^{\circ})+\ln(\tan89^{\circ})= \ ?

What is the value of sin20(tan10+cot10) \sin 20^{\circ}(\tan 10^{\circ}+\cot 10^{\circ})?

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