(English Medium) ICSE Class 10 - CISCE Question Bank Solutions for Mathematics

Evaluate.
sin(90° - A) cosA + cos(90° - A) sinA

Evaluate.
sin²35° + sin²55°

Evaluate.
`cot54^@/(tan36^@)+tan20^@/(cot70^@)-2`

Evaluate.
`(2tan53^@)/(cot37^@)-cot80^@/tan10^@`

Evaluate.
cos²25° + cos²65° - tan²45°

Evaluate.
`(cos^2 32^@+cos^2 58^@)/(sin^2 59^@+sin^2 31^@)`

Evaluate.
`(sin77^@/cos13^@)^2+(cos77^@/sin13^@)-2cos^2 45^@`

Evaluate.
`cos^2 26^@+cos65^@sin26^@+tan36^@/cot54^@`

Show that : sin 42° sec 48° + cos 42° cosec 48° = 2

Show that : `sin26^circ/sec64^circ  + cos26^circ/(cosec64^circ) = 1`

Express the following in terms of angle between 0° and 45°:

sin 59° + tan 63°

Express the following in terms of angles between 0° and 45°:

cosec68° + cot72°

Express the following in terms of angles between 0° and 45°:

cos74° + sec67°

For triangle ABC, show that : `sin  (A + B)/2 = cos  C/2`

For triangle ABC, show that : `tan  (B + C)/2 = cot  A/2`

Evaluate:

`3 sin72^circ/(cos18^circ) - sec32^circ/(cosec58^circ)`

Evaluate:

3cos80° cosec10° + 2 sin59° sec31°

Evaluate:

`sin80^circ/(cos10^circ) + sin59^circ  sec31^circ`

Evaluate:

tan(55° - A) - cot(35° + A)

Evaluate:

cosec (65° + A) – sec (25° – A)