Question
How many such pairs of letters are there in the word
‘CALCULATOR’, each of which has as many letters between them as in the English alphabetical series?Solution
So, there are two such pairs i.e. LO and RT in ‘CALCULATOR’, which has as many letters between them as in the English alphabet.
∆ PQR is right-angled at Q. If ∠R = 60º, then find the value of cosec P.
If tan² 45°- cos² 60° x sin 45° cos 45° cot 30°, then find the value of 'x'.
The value of (3tan10°-tan³10°)/(1-3tan²10°) is equal to
- If sin (4A − B) = (√2/2) and cos (A + B) = (√2/2), where 0° < A, B < 90°, then find the value of ‘A’.
sin2 7 ° + sin2 8 ° + sin2 9 ° + sin2 10 ° + ……… + sin2 83 ° = ?
...If cos1.5B = sin(B + 5°), then find the measure of 'B'.
- If sin(A + B) = 1/2 and cos(A + 2B) = √3/2, where 0° < A, B < 90°, then find the value of tan(2A).

cos (sec-1 x) is equal to –
If A + B = 450 , then the value of 2(1 + tanA) (1 + tanB) is: