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Frequently Asked IIT-JEE Latest Exam Pattern - IIT-JEE Sample Question with Solutions Page 44

(#M40027341) IIT-JEE QUESTION Trigonometric Ratios Keep an EYE

Prove:

cos (A + B) = cos A cos B – sin A sin B

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(#M40027338) IIT-JEE QUESTION Trigonometric Ratios Keep an EYE

prove:
sin (A + B) =sin A cos B + cos A sin B

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(#M40027336) IIT-JEE QUESTION Trigonometric Ratios Keep an EYE

Find the value of the following trigonometric
ratios -
(a) cos (–45) (b) sin (–30)
(c) cot (–60)

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(#M40027335) IIT-JEE QUESTION Trigonometric Ratios Keep an EYE

Prove that, sin^8θ – cos^8θ = (sin^2θ – cos^2θ)
(1 – 2sin^2θ cos^2θ )

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(#M40027334) IIT-JEE QUESTION Trigonometric Ratios Keep an EYE

Find the length of an arc of a circle of radius
5 cm subtending a central angle measuring
15º

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(#M40027333) IIT-JEE QUESTION Trigonometric Ratios Keep an EYE

50g 30′ 50′′ change into grade system

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(#M40027332) IIT-JEE QUESTION Trigonometric Ratios Keep an EYE

63º 14′ 51′′ change into grade system

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(#M40021929) IIT-JEE QUESTION COORDINATE GEOMETRY Keep an EYE

An equation of a plane parallel to the plane x - 2y + 2z - 5 = 0 and at a unit distance from the origin is

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(#M40021806) IIT-JEE QUESTION volume Keep an EYE

A rectangular sheet of fixed perimeter with sides having their lengths in the ratio 8 : 15 is converted into an open rectangular box by folding after removing squares of equal area from all four corners. If the total area of removed squares is 100, the resulting box has maximum volume. Then the lengths of the sides of the rectangular sheet are
option
a) 24
b) 32
c) 45
d) 60

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(#M40021803) IIT-JEE QUESTION STRAIGHT LINE Keep an EYE

The area enclosed by the curves y = sinx + cosx and y = |cosx -­ sinx| over the interval [0,90 degree] is

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