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

Use tables to find the acute angle θ, if the value of cos θ is 0.9848

Use tables to find the acute angle θ, if the value of cos θ is 0.9574

Use tables to find the acute angle θ, if the value of cos θ is 0.6885

Use tables to find the acute angle θ, if the value of tan θ is 0.2419

Use tables to find the acute angle θ, if the value of tan θ is 0.4741

Use tables to find the acute angle θ, if the value of tan θ is 0.7391

Evaluate:

`2(tan35^@/cot55^@)^2 + (cot55^@/tan35^@)^2 - 3(sec40^@/(cosec50^@))`

Evaluate:

`sec26^@ sin64^@ + (cosec33^@)/sec57^@`

Evaluate:

`(5sin66^@)/(cos24^@) - (2cot85^@)/(tan5^@)` 

Evaluate:

cos 40° cosec 50° + sin 50° sec 40°

Evaluate:

sin 27° sin 63° – cos 63° cos 27°

Evaluate:

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

Evaluate:

3 cos 80° cosec 10° + 2 cos 59° cosec 31°

Evaluate:

`(cos75^@)/(sin15^@) + (sin12^@)/(cos78^@) - (cos18^@)/(sin72^@)`

Prove that:

tan (55° - A) - cot (35° + A)

Prove that:

sec (70° – θ) = cosec (20° + θ)

Prove that:

sin (28° + A) = cos (62° – A)

Prove that:

`1/(1 + cos(90^@ - A)) + 1/(1 - cos(90^@ - A)) = 2cosec^2(90^@ - A)`

Prove that:

`1/(1 + sin(90^@ - A)) + 1/(1 - sin(90^@ - A)) = 2sec^2(90^@ - A)`

If A and B are complementary angles, prove that:

cot B + cos B = sec A cos B (1 + sin B)