Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

Introduction to Trigonometry

Long Answer Type

141. Prove the following identities:

fraction numerator sinθ minus cosθ plus 1 over denominator sinθ plus cosθ minus 1 end fraction space equals space fraction numerator 1 over denominator secθ minus tanθ end fraction.

98 Views

142. Prove the following identities:
(1 + cot θ- cosec θ) (1 + tan θ+ sec θ) = 2.

(1 + cot θ- cosec θ) (1 + tan θ+ sec θ) = 2.

Hence, L.H.S. = R.H.S. Proved.

154 Views

Short Answer Type

143.

If $cotA space equals space straight b over straight a comma space$ prove that: $fraction numerator 2 space secA space plus space 1 over denominator cos space straight A space plus space 2 end fraction equals space fraction numerator square root of straight a squared plus straight b squared end root over denominator straight b end fraction.$

100 Views

144.

If $sinA space equals space straight m over straight n comma space$ find $fraction numerator tanA plus 4 over denominator 4 space cotA space plus 1 end fraction.$

99 Views

Long Answer Type

145. In the Fig.

CD perpendicular AB comma

If AD = 4 units, DB = 6 units and CD = 3 units, find the values of (i) sin A, (it) cot A, (iii) sec B, (iv) tan B.

99 Views

Short Answer Type

146. In DOPQ, right angled at P. OP = 7 cm and OQ - PQ = 1 cm. Determine the values of sin θ and cos θ.

146 Views

147. In right-triangle ABC, right-angled at B. If tan A = 1 then verify that 2 sin A. cos A = 1.

203 Views

148.

If $tanθ space equals space 4 over 3 comma$ find the value of $fraction numerator 2 space sin space straight theta space minus space 3 space cosθ over denominator 2 space sin space straight theta space plus space 3 space cos space straight theta end fraction.$

76 Views

149.

If $16 space cot space straight theta space equals space 12 comma$ find the value of $fraction numerator sinθ plus cosθ over denominator sinθ minus cosθ end fraction.$

98 Views

150.

If $cot space straight theta space equals space 12 over 5 comma space$ show that $tan squared straight theta minus sin squared straight theta space equals space sin squared space straight theta. space tan squared straight theta$