Prove that` cot 16^@ cot 44^@ + cot 44^@ cot 76^@ -cot 76^@cot 16^@` = 3

If A + B + C = pi , show that cot A cot B + cot B cot C + cot C cot A = 1

Establish cot 53^@ sin 37^@ sec 53^@ sin 53^@ cot 37^@ = cos 37^@

Prove that:a. sec30^@ tan60^@+sin45^@cosec45^@+cos30^@+cos30^@cot60^@=7/2

In a triangle ABC, prove that (b^2 - c^2) cot A + (c^2 -a^2) cot B+ (a^2-b^2) cot C = 0

Without using trigonometric tables, evaIuate the following: sec37^@/(cosec53^@)+2cot15^@cot25^@cot45^@cot75^@cot65^@-3(sin^2 18^@+sin^2 72^@)

Prove that: ((1+cot 60)/(1-cot 60))^2=(1+cos 30)/(1-cos 30)

Prove that: (tan 50° + sec 50°)/(cot 40° + cosec 40°) + cos 40° cosec 50º = 2 .

Show that : tan^-1 4-tan^-1 3=cot^-1 13

Find the values of :c. 6cos^2 45^@-18cot^2 60^@+3sec60^@

The value of tan30^@/cot60^@ is