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English Medium कक्षा १० - CBSE Question Bank Solutions for Mathematics

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Mathematics
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Find the value of ` ( sin 50°)/(cos 40°)+ (cosec 40°)/(sec 50°) - 4 cos 50°   cosec 40 °`

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

Find the value of sin ` 48° sec 42° + cos 48°  cosec 42°`

 

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

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If x =  a sin θ and y = bcos θ , write the value of`(b^2 x^2 + a^2 y^2)`

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

If 5x = sec ` theta and 5/x = tan theta , " find the value of 5 "( x^2 - 1/( x^2))`

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

If `cosec  theta = 2x and cot theta = 2/x ," find the value of"  2 ( x^2 - 1/ (x^2))`

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

If `sec theta + tan theta = x,"  find the value of " sec theta`

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

Find the value of `(cos 38° cosec 52°)/(tan 18° tan 35° tan 60° tan 72° tan 55°)`

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

If `sin theta = x , " write the value of cot "theta .`

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

If `sec theta = x ,"write the value of tan"  theta`.

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

Prove that `(sinθ - cosθ + 1)/(sinθ + cosθ - 1) = 1/(secθ - tanθ)`

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

The sum of a two-digit number and the number formed by reversing the order of digit is 66. If the two digits differ by 2, find the number. How many such numbers are there?

[3] Pair of Linear Equations in Two Variables
Chapter: [3] Pair of Linear Equations in Two Variables
Concept: undefined >> undefined

Define an identity.

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

What is the value of (1 − cos2 θ) cosec2 θ? 

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

What is the value of (1 + cot2 θ) sin2 θ?

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

What is the value of \[\sin^2 \theta + \frac{1}{1 + \tan^2 \theta}\]

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

If sec θ + tan θ = x, write the value of sec θ − tan θ in terms of x.

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

If cosec θ − cot θ = α, write the value of cosec θ + cot α.

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

Write the value of cosec2 (90° − θ) − tan2 θ. 

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

Write the value of sin A cos (90° − A) + cos A sin (90° − A).

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

Write the value of \[\cot^2 \theta - \frac{1}{\sin^2 \theta}\] 

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined
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