Related InterviewSolutions

• If `A+B=90^(@)` then prove that `1+(tanA)/(tanB)=sec^(2)A.`
• If `A+B=90^(@)andtanA=(3)/(4),` then value of cot B isA. `(3)/(4)`B. `(4)/(3)`C. `(3)/(5)`D. `(4)/(5)`
• If `A+B=90^(@)`, then the value of `sin^(2)A+sin^(2)B=`A. `-1`B. 0C. 1D. `(1)/(sqrt2)`
• If A and B are acute angles such that `sin A =cos B`, prove that `(A+B)=90^@`.
• AOB is a diameter of a circle with centre O and C is any point on the circle, joining A, C, B, C, and O, C, prove that `cosec^(2)angleCAB-1=tan^(2)angleABC`.
• Find the value of `sin^(2)5^(@)+sin^(2)10^(@)+sin^(2)15^(@)+.............+sin^(2)90^(@)`.
• If `sec 5A=cosec (A-30^@)`, where 5A is an acute angle then find the value of A.
• If`s in3A" "=" "cos(A 26o)`,where 3A is an acute angle, find the value of A.
• If `sin (theta+34^@)=cos theta and (theta +34^@)` is acute show that `theta =28^@`.
• If `sin 3A =cos(A-10^(@))` where 3A is an acute angle , then find the value of A.