 Hello friends, and how are you all doing today? My name is Priyanka and let us discuss this question. It says without using trigonometric tables evaluate the following. Now here we are given 2 cos 67 degree upon sine 23 degrees minus tan 40 degree upon cot 50 degree minus cos 0 degree plus tan 15 degree into tan 25 degree into tan 60 degree into tan 65 degree into tan 75 degree Now we need to evaluate this given so Let us rewrite the given trigonometric ratio to us. Now let's proceed on now here We can write Cos 67 degree as cos 90 degree minus 23 degrees right Similarly here we can write tan 40 degrees as tan 90 degrees minus 40 degrees upon cot 50 degrees minus 1 the value of cos 0 degree is 1 plus tan 15 degree into tan 25 degrees into Which is the value of tan 60 now tan 65 degrees can be written as tan 90 degrees minus 25 degrees and similarly tan 75 can be written as tan 90 degrees minus 15 degrees right so I am doing so we have 2 cos 90 minus theta sine theta so sine 23 degrees upon sine 23 degrees Minus tan 90 minus theta is cot theta so it will be cot 50 degree upon cot 50 degree minus 1 plus tan 15 degree into tan 25 degree into root 3 into tan cot 25 degree into cot 15 degree Which can now be written as on other simplifying we have 1 into 1 into root 3 which gives us the answer as root 3 right so this is the required answer to the given question so this completes the session have a good day