Home
Class 10
MATHS
Prove that: (i) sin (70^@+theta) -cos...

Prove that:
` (i) sin (70^@+theta) -cos (20^@-theta) =0`
`(ii) tan (55^@-theta) -cot (35^@-theta)=0`
`(iii) cosec(67^@+theta) -sec (23^@-theta)=0`
`(iv) cosec (65^@+theta) -sec (25^@-theta )-tan (55^@-theta) +cot (35^@+theta) =0`
`(v) sin (50^@+theta) -cos (40^@-theta) +tan 1^@ tan 10 ^@ tan 80^@ tan 89^@=1`

Text Solution

Verified by Experts

`(i) LHS =sin {90^@-(20^@-theta)}-cos (20^@-theta)=cos (20^@-theta) -cos (20^@-theta) =0`.
`(v) LHS =sin {90^@-(40^@-theta )}-cos (40^@-theta)+(tan 1^@tan 89^@)(tan 10^@tan 80^@)=cos (40^@-theta) -cos (40^@-theta) +(1xx1)=1`.
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS OF COMPLEMENTARY ANGLES

    RS AGGARWAL|Exercise Exercise 12|15 Videos

  • TRIGONOMETRIC RATIOS

    RS AGGARWAL|Exercise Exercise 10|35 Videos

  • VOLUME AND SURFACE AREAS OF SOLIDS

    RS AGGARWAL|Exercise MULTIPLE-CHOICE QUESTIONS(MCQ)|14 Videos

Similar Questions

Explore conceptually related problems

Evaluate : cos ec(65^(@)+theta)-sec(25^(0)-theta)-tan(55^(0)-theta)+cot(35^(@)+theta)

The value of the expression cosec(75^(@)+theta) - sec(15^@-theta)-tan(55^(@)+theta) + cot(35^(@)-theta) is

What is cosec ( 75 ^(@) + theta) - sec (15 ^(@) - theta) - tan (55 ^(@) + theta) + cot ( 35 ^(@) - theta) equal to ?

The value of the expression cosec(75^(@)+theta)-sec(15^(@)-theta) -tan(55^(@)+theta)+cot(35^(@)-theta) is :

The value of the expression cosec (85^@+theta)- sec(5^@-theta)-tan (55^@+theta)+cot(35^@-theta) is: व्यंजक cosec (85^@+theta)- sec(5^@-theta)-tan (55^@+theta)+cot(35^@-theta) का मान है :

(cosec theta + sin theta) (sec theta - cos theta) tan theta + cot theta) is equal to

Prove that (cos(90^(0)+theta)sec(-theta)tan(180^(@)-theta))/(sec(360^(@)-theta)sin(180^(@)+theta)cot(90^(@)-theta))=-1